[ "Úljá\u0003\u0013ä\u001bh·G\u001eƒâ³­", [ [ "Vale.Math.Lemmas.Int.multiply_fractions", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "0a4485523662d00ee36dbe4844d2cfa4" ], [ "Vale.Math.Lemmas.Int.lemma_div_mod", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "a8dfed609443a44265608552a14f91a4" ], [ "Vale.Math.Lemmas.Int.lemma_div_lt", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "b2t_def", "equation_Prims.l_and", "equation_Prims.squash", "l_and-interp", "primitive_Prims.op_LessThanOrEqual", "projection_inverse_BoxBool_proj_0", "projection_inverse_BoxInt_proj_0", "refinement_interpretation_Tm_refine_2de20c066034c13bf76e9c0b94f4806c" ], 0, "8f2cc4f6e570d84f3610433f0b00c31f" ], [ "Vale.Math.Lemmas.Int.small_div", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "22be2e203e9cd2e46e28cfce5df6ece8" ], [ "Vale.Math.Lemmas.Int.small_mod", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "754b7139ff5faedd41e5ce91f1af16bf" ], [ "Vale.Math.Lemmas.Int.lemma_div_plus", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "cd9d90ad2cb894b2dadb46849987cd82" ], [ "Vale.Math.Lemmas.Int.lemma_mod_plus", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "b849af97c759213524195abb5049507b" ], [ "Vale.Math.Lemmas.Int.cancel_mul_div", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "4d7eb0cad5948167879297ae245a77f2" ], [ "Vale.Math.Lemmas.Int.cancel_mul_mod", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "538a615a796b2d5f862386c22221bb0f" ], [ "Vale.Math.Lemmas.Int.mod_add_both", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "21d6cd9acfa273a1389d91f6b3c2861f" ], [ "Vale.Math.Lemmas.Int.lemma_mod_add_distr", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "ae57025bff5eb73fc9352c1347aec7cb" ], [ "Vale.Math.Lemmas.Int.lemma_mod_sub_distr", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "548fe1189ff738b2a3da84543d7c6807" ], [ "Vale.Math.Lemmas.Int.lemma_mod_mul_distr_l", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "3f0ecf460602325aa4338b9ab72d6a37" ], [ "Vale.Math.Lemmas.Int.lemma_mod_mul_distr_r", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "af58a7a49dffcc4e65eb56e86c0f8ec4" ], [ "Vale.Math.Lemmas.Int.lemma_div_exact", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "d24c0190eaaaf40843bd559fc176157c" ], [ "Vale.Math.Lemmas.Int.div_exact_r", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "b3841dc8af6b498e317ca7c1a255fb64" ], [ "Vale.Math.Lemmas.Int.lemma_mod_spec", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "ec10cc7c6df616ee7291f8bff8c18689" ], [ "Vale.Math.Lemmas.Int.lemma_mod_spec2", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "e0aefff3f5dfd39d6f59996088921483" ], [ "Vale.Math.Lemmas.Int.lemma_mod_plus_distr_l", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "e68948cccdc94479af168d7f16c829d9" ], [ "Vale.Math.Lemmas.Int.lemma_mod_plus_distr_r", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "087d19ee4c0f65c8831090e62eba97f6" ], [ "Vale.Math.Lemmas.Int.small_division_lemma_2", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "88743175a783b8f2ee304abc758bfce0" ], [ "Vale.Math.Lemmas.Int.division_propriety", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "8038db530a2fc9cb919b57c4c888e46a" ], [ "Vale.Math.Lemmas.Int.division_definition", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "db5e0597cdc4df60e930881e770d0b42" ], [ "Vale.Math.Lemmas.Int.multiple_division_lemma", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "1bb71d7afa3991e2c3533997f0b76f39" ], [ "Vale.Math.Lemmas.Int.multiple_modulo_lemma", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "6f52ec540a2064948ab9ca9b71dbeb63" ], [ "Vale.Math.Lemmas.Int.division_addition_lemma", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "2e417956de78747b3ec9edc93ed28054" ], [ "Vale.Math.Lemmas.Int.division_sub_lemma", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "fea8797794701b98d068cfcd7086c145" ], [ "Vale.Math.Lemmas.Int.modulo_distributivity", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "b9e34e5cb02cc2fd27731c79aeffe5fa" ], [ "Vale.Math.Lemmas.Int.modulo_addition_lemma", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "d890ae7f4ea0840b0d4b659f4bd2a057" ], [ "Vale.Math.Lemmas.Int.lemma_mod_sub", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "7ee641203562ae8779f1c42e83e55165" ], [ "Vale.Math.Lemmas.Int.mod_mult_exact", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "6c4d3cb54d99da37aa9c78083c18d2d8" ], [ "Vale.Math.Lemmas.Int.mod_mul_div_exact", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "eq2-interp", "equation_Prims.pos", "equation_Prims.squash", "refinement_interpretation_Tm_refine_2de20c066034c13bf76e9c0b94f4806c", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "6cbbdcfeaca58bab9eb64f45fdb15f82" ], [ "Vale.Math.Lemmas.Int.mod_pow2_div2", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "projection_inverse_BoxInt_proj_0", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "fb3b7f51a824937529437bc7da457a15" ], [ "Vale.Math.Lemmas.Int.division_multiplication_lemma", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "d68fc7be1dbe8d605ee4377baaacf030" ], [ "Vale.Math.Lemmas.Int.modulo_modulo_lemma", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.pos", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "d6c6b636c63a8fcdafafb3ebf51261f2" ], [ "Vale.Math.Lemmas.Int.lemma_mod_plus_injective", 1, 1, 0, [ "@MaxIFuel_assumption", "@query", "equation_Prims.eqtype", "equation_Prims.nat", "equation_Prims.pos", "function_token_typing_Prims.int", "haseqTm_refine_542f9d4f129664613f2483a6c88bc7c2", "refinement_interpretation_Tm_refine_414d0a9f578ab0048252f8c8f552b99f", "refinement_interpretation_Tm_refine_774ba3f728d91ead8ef40be66c9802e5" ], 0, "d33297dd8a9a9d3954d6337bc29ca710" ] ] ]