Revision 9c7444102374d3650ce16ea2cf8d6b8a726dd2df authored by Victor Dumitrescu on 11 May 2020, 16:25:39 UTC, committed by Victor Dumitrescu on 11 May 2020, 16:25:39 UTC
1 parent 6cadaf2
Raw File
Spec.P256.Lemmas.fst.hints
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        "primitive_Prims.op_Subtraction",
        "projection_inverse_BoxBool_proj_0",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_3336c263a8f81f44fe63e11e8a94ae99",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "token_correspondence_Prims.pow2.fuel_instrumented",
        "typing_Lib.IntTypes.bits", "typing_tok_Lib.IntTypes.U64@tok"
      ],
      0,
      "67164bbd09a08fcce309b8ee3eae8b1a"
    ],
    [
      "Spec.P256.Lemmas.fmul",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "int_inversion", "primitive_Prims.op_Modulus",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "2b98b3fcd2aad421542d30e6c9fccfda"
    ],
    [
      "Spec.P256.Lemmas.exp",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query",
        "Prims_pretyping_ae567c2fb75be05905677af440075565",
        "binder_x_f26957a7e62b271a8736230b1e9c83c1_2",
        "equality_tok_Prims.LexTop@tok", "equation_Prims.pos",
        "function_token_typing_Prims.__cache_version_number__",
        "int_inversion", "int_typing", "primitive_Prims.op_Division",
        "primitive_Prims.op_Equality", "primitive_Prims.op_Modulus",
        "projection_inverse_BoxBool_proj_0",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "well-founded-ordering-on-nat"
      ],
      0,
      "60e990c1a1b8583047825dde80956b0b"
    ],
    [
      "Spec.P256.Lemmas.modp_inv_prime",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "int_inversion", "primitive_Prims.op_Modulus",
        "primitive_Prims.op_Subtraction", "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_fd0d082075d797d9d29faee2f7221b9b"
      ],
      0,
      "96bc280345daf6cffe722c13c66a775e"
    ],
    [
      "Spec.P256.Lemmas.modp_inv2_prime",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.nat",
        "int_inversion", "primitive_Prims.op_Modulus",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_252208e03527988c441dcde8cef45502",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2"
      ],
      0,
      "331ace91898679d033e3ebbdc06bf73f"
    ],
    [
      "Spec.P256.Lemmas.modp_inv2",
      1,
      4,
      2,
      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Prims.pow2.fuel_instrumented",
        "@fuel_irrelevance_Prims.pow2.fuel_instrumented", "@query",
        "constructor_distinct_Lib.IntTypes.U32",
        "equation_Lib.IntTypes.minint", "equation_Lib.IntTypes.unsigned",
        "equation_Prims.nat", "equation_Spec.P256.Definitions.prime256",
        "equation_with_fuel_Prims.pow2.fuel_instrumented", "int_typing",
        "primitive_Prims.op_Addition", "primitive_Prims.op_Multiply",
        "primitive_Prims.op_Subtraction", "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2"
      ],
      0,
      "f9a26e972cffd20957233cc7c17d0be5"
    ],
    [
      "Spec.P256.Lemmas.modp_inv2_pow",
      1,
      2,
      1,
      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Prims.pow2.fuel_instrumented",
        "@fuel_irrelevance_Prims.pow2.fuel_instrumented", "@query",
        "constructor_distinct_Lib.IntTypes.U32",
        "equation_Lib.IntTypes.minint", "equation_Lib.IntTypes.unsigned",
        "equation_Prims.nat", "equation_Prims.pos",
        "equation_Spec.P256.Definitions.prime256",
        "equation_with_fuel_Prims.pow2.fuel_instrumented", "int_inversion",
        "int_typing", "primitive_Prims.op_Addition",
        "primitive_Prims.op_Modulus", "primitive_Prims.op_Multiply",
        "primitive_Prims.op_Subtraction", "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_7d84b8f3dff73d3cc195fbe597f5a194",
        "token_correspondence_Prims.pow2.fuel_instrumented",
        "typing_Spec.P256.Definitions.prime256"
      ],
      0,
      "5705bff3350f8e495fe77341bf0d82c8"
    ],
    [
      "Spec.P256.Lemmas.min_one_prime",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "int_inversion", "primitive_Prims.op_Modulus",
        "primitive_Prims.op_Subtraction", "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_fd0d082075d797d9d29faee2f7221b9b"
      ],
      0,
      "b41077d953b7db8ec3b134982c45fba3"
    ],
    [
      "Spec.P256.Lemmas.lemma_fpow_unfold0",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.eqtype",
        "equation_Prims.nat", "equation_Prims.pos",
        "equation_Spec.P256.Lemmas.elem", "function_token_typing_Prims.int",
        "haseqTm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "haseqTm_refine_c1424615841f28cac7fc34e92b7ff33c", "int_inversion",
        "primitive_Prims.op_Division", "primitive_Prims.op_Modulus",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_1da93ef63852a3a506544a292b2657a4",
        "refinement_interpretation_Tm_refine_39df8d29380e6969edd244cad5059985",
        "refinement_interpretation_Tm_refine_414d0a9f578ab0048252f8c8f552b99f",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "848e9f798f9041a7a8556d51aaee5adf"
    ],
    [
      "Spec.P256.Lemmas.lemma_fpow_unfold0",
      2,
      2,
      1,
      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Spec.P256.Lemmas.exp.fuel_instrumented",
        "@fuel_irrelevance_Spec.P256.Lemmas.exp.fuel_instrumented", "@query",
        "Prims_pretyping_ae567c2fb75be05905677af440075565",
        "equation_Prims.nat", "equation_Prims.pos",
        "equation_Spec.P256.Lemmas.elem", "equation_Spec.P256.Lemmas.fmul",
        "equation_with_fuel_Spec.P256.Lemmas.exp.fuel_instrumented",
        "function_token_typing_Prims.__cache_version_number__",
        "int_inversion", "primitive_Prims.op_Division",
        "primitive_Prims.op_Equality", "projection_inverse_BoxBool_proj_0",
        "refinement_interpretation_Tm_refine_1da93ef63852a3a506544a292b2657a4",
        "refinement_interpretation_Tm_refine_39df8d29380e6969edd244cad5059985",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_c1424615841f28cac7fc34e92b7ff33c"
      ],
      0,
      "53200bcae8383559285cddbcc56154a2"
    ],
    [
      "Spec.P256.Lemmas.lemma_fpow_unfold1",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.eqtype",
        "equation_Prims.nat", "equation_Prims.pos",
        "equation_Spec.P256.Lemmas.elem", "function_token_typing_Prims.int",
        "haseqTm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "haseqTm_refine_c1424615841f28cac7fc34e92b7ff33c", "int_inversion",
        "primitive_Prims.op_Division", "primitive_Prims.op_Modulus",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_39df8d29380e6969edd244cad5059985",
        "refinement_interpretation_Tm_refine_414d0a9f578ab0048252f8c8f552b99f",
        "refinement_interpretation_Tm_refine_5c810aa3d09a59fa0969eff7c23d634f",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "6b27842d554ec4fabd1241c3582b1e26"
    ],
    [
      "Spec.P256.Lemmas.lemma_fpow_unfold1",
      2,
      2,
      1,
      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Spec.P256.Lemmas.exp.fuel_instrumented",
        "@fuel_irrelevance_Spec.P256.Lemmas.exp.fuel_instrumented", "@query",
        "Prims_pretyping_ae567c2fb75be05905677af440075565",
        "constructor_distinct_Lib.IntTypes.U32",
        "equation_Lib.IntTypes.minint", "equation_Lib.IntTypes.unsigned",
        "equation_Prims.nat", "equation_Prims.pos",
        "equation_Spec.P256.Lemmas.elem", "equation_Spec.P256.Lemmas.fmul",
        "equation_with_fuel_Spec.P256.Lemmas.exp.fuel_instrumented",
        "function_token_typing_Prims.__cache_version_number__",
        "int_inversion", "primitive_Prims.op_Division",
        "primitive_Prims.op_Equality", "primitive_Prims.op_Modulus",
        "primitive_Prims.op_Multiply", "projection_inverse_BoxBool_proj_0",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_39df8d29380e6969edd244cad5059985",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "refinement_interpretation_Tm_refine_5c810aa3d09a59fa0969eff7c23d634f",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_c1424615841f28cac7fc34e92b7ff33c"
      ],
      0,
      "c1eca739f2ee73d6a5a942e5490e127b"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_unfold",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "primitive_Prims.op_Subtraction", "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "5c7259ece6d53b3f7a1a48a258eb9fe0"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_unfold",
      2,
      2,
      1,
      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Spec.P256.Lemmas.pow.fuel_instrumented",
        "@fuel_irrelevance_Spec.P256.Lemmas.pow.fuel_instrumented", "@query",
        "Prims_pretyping_ae567c2fb75be05905677af440075565",
        "equation_Prims.nat", "equation_Prims.pos",
        "equation_with_fuel_Spec.P256.Lemmas.pow.fuel_instrumented",
        "function_token_typing_Prims.__cache_version_number__",
        "int_inversion", "primitive_Prims.op_Equality",
        "primitive_Prims.op_Subtraction",
        "projection_inverse_BoxBool_proj_0",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "918094c1ed88464a8a28a91cafc63da1"
    ],
    [
      "Spec.P256.Lemmas.lemma_mul_ass3",
      1,
      2,
      1,
      [
        "@query", "primitive_Prims.op_Multiply",
        "projection_inverse_BoxInt_proj_0"
      ],
      0,
      "d07c581a68512670dc8aef2333bdd02a"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_double",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.nat",
        "int_inversion", "primitive_Prims.op_Addition",
        "primitive_Prims.op_Multiply", "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2"
      ],
      0,
      "f1a98d7884ea729d3f4bd230694dfc27"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_double",
      2,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.nat",
        "primitive_Prims.op_Addition", "primitive_Prims.op_Multiply",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "refinement_interpretation_Tm_refine_e39eff67be239ccc8bd9d7c31f5eb7ce"
      ],
      0,
      "ba9c52016d0d9e5bae8a75608b2960b2"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_double",
      3,
      2,
      1,
      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Spec.P256.Lemmas.pow.fuel_instrumented",
        "@fuel_irrelevance_Spec.P256.Lemmas.pow.fuel_instrumented", "@query",
        "Prims_pretyping_ae567c2fb75be05905677af440075565",
        "binder_x_bb4e1c9af0265270f8e7a5f250f730e2_0",
        "binder_x_bb4e1c9af0265270f8e7a5f250f730e2_1",
        "constructor_distinct_Lib.IntTypes.U32",
        "equality_tok_Lib.IntTypes.U32@tok", "equality_tok_Prims.LexTop@tok",
        "equation_Lib.IntTypes.minint", "equation_Lib.IntTypes.unsigned",
        "equation_Prims.nat",
        "equation_with_fuel_Spec.P256.Lemmas.pow.fuel_instrumented",
        "function_token_typing_Prims.__cache_version_number__",
        "int_inversion", "int_typing", "primitive_Prims.op_Addition",
        "primitive_Prims.op_Equality", "primitive_Prims.op_Multiply",
        "primitive_Prims.op_Subtraction",
        "projection_inverse_BoxBool_proj_0",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "token_correspondence_Spec.P256.Lemmas.pow.fuel_instrumented",
        "typing_Lib.IntTypes.minint", "typing_Spec.P256.Lemmas.pow",
        "typing_tok_Lib.IntTypes.U32@tok", "well-founded-ordering-on-nat"
      ],
      0,
      "764fede0c5cd2c08e90886fdda988716"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_mod_n_is_fpow",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "9cf75640eb645ba6832e6b46e6e05fbf"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_mod_n_is_fpow",
      2,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_fde648da634d897e06a9e29c55c7fb64"
      ],
      0,
      "08d7222fe4c8de39c1a30d2baa23719b"
    ],
    [
      "Spec.P256.Lemmas.lemma_pow_mod_n_is_fpow",
      3,
      2,
      1,
      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Spec.P256.Lemmas.exp.fuel_instrumented",
        "@fuel_correspondence_Spec.P256.Lemmas.pow.fuel_instrumented",
        "@fuel_irrelevance_Spec.P256.Lemmas.pow.fuel_instrumented", "@query",
        "Prims_pretyping_ae567c2fb75be05905677af440075565",
        "binder_x_a6ca6afaf28feca12f50f23fc064a6db_1",
        "binder_x_f26957a7e62b271a8736230b1e9c83c1_0",
        "binder_x_f26957a7e62b271a8736230b1e9c83c1_2",
        "constructor_distinct_Lib.IntTypes.U32",
        "equality_tok_Lib.IntTypes.U32@tok", "equality_tok_Prims.LexTop@tok",
        "equation_Lib.IntTypes.minint", "equation_Lib.IntTypes.unsigned",
        "equation_Prims.nat", "equation_Prims.pos",
        "equation_Spec.P256.Lemmas.elem", "equation_Spec.P256.Lemmas.fmul",
        "equation_with_fuel_Spec.P256.Lemmas.exp.fuel_instrumented",
        "equation_with_fuel_Spec.P256.Lemmas.pow.fuel_instrumented",
        "function_token_typing_Prims.__cache_version_number__",
        "int_inversion", "int_typing", "primitive_Prims.op_Addition",
        "primitive_Prims.op_Division", "primitive_Prims.op_Equality",
        "primitive_Prims.op_Modulus", "primitive_Prims.op_Multiply",
        "primitive_Prims.op_Subtraction",
        "projection_inverse_BoxBool_proj_0",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_542f9d4f129664613f2483a6c88bc7c2",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_c1424615841f28cac7fc34e92b7ff33c",
        "refinement_interpretation_Tm_refine_f61c88f7b091b2f36e8249b0c1c7337c",
        "token_correspondence_Spec.P256.Lemmas.pow.fuel_instrumented",
        "typing_Lib.IntTypes.minint", "typing_Spec.P256.Lemmas.pow",
        "typing_tok_Lib.IntTypes.U32@tok", "unit_inversion", "unit_typing",
        "well-founded-ordering-on-nat"
      ],
      0,
      "3050868b2d8e112ad91b7908d73964fc"
    ],
    [
      "Spec.P256.Lemmas.modulo_distributivity_mult_last_two",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "e28c5c37c28e6b6ca5781489e8302d29"
    ],
    [
      "Spec.P256.Lemmas.modulo_distributivity_mult_last_two",
      2,
      2,
      1,
      [ "@query", "true_interp" ],
      0,
      "54f5bc7bed1e8cbccab47f47efeeaa98"
    ],
    [
      "Spec.P256.Lemmas.lemma_mod_twice",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "92586d5bdf37a7cafa767d883d356cc5"
    ],
    [
      "Spec.P256.Lemmas.lemma_mod_twice",
      2,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "d42bc6cc636e52f0ca0ad81ea37dddf3"
    ],
    [
      "Spec.P256.Lemmas.lemma_multiplication_to_same_number",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.pos",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5"
      ],
      0,
      "c77f1c00ce32c0449d4a23329aeb79a1"
    ],
    [
      "Spec.P256.Lemmas.lemma_multiplication_to_same_number",
      2,
      2,
      1,
      [ "@query" ],
      0,
      "366737388eaf2334aadcc0bc3da6642a"
    ],
    [
      "Spec.P256.Lemmas.lemma_division_is_multiplication",
      1,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.eqtype",
        "equation_Prims.pos", "function_token_typing_Prims.int",
        "haseqTm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "projection_inverse_BoxInt_proj_0",
        "refinement_interpretation_Tm_refine_414d0a9f578ab0048252f8c8f552b99f",
        "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5",
        "refinement_interpretation_Tm_refine_e602898443542ade30581f55a597ae8a"
      ],
      0,
      "b9c2c313f713e8958678dc9b9e08f24c"
    ],
    [
      "Spec.P256.Lemmas.lemma_division_is_multiplication",
      2,
      2,
      1,
      [
        "@MaxIFuel_assumption", "@query", "equation_Prims.eqtype",
        "equation_Prims.pos", "function_token_typing_Prims.int",
        "haseqTm_refine_774ba3f728d91ead8ef40be66c9802e5",
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      "6dab11f22bd0e8697fed6df2d65d93cc"
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      "Spec.P256.Lemmas.lemma_division_is_multiplication",
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      [
        "@MaxFuel_assumption", "@MaxIFuel_assumption",
        "@fuel_correspondence_Prims.pow2.fuel_instrumented",
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      "Spec.P256.Lemmas.mult_one_round",
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