ProofFastFind.wlt: law of lawful-bytes@0.1.1.0 Import: import lawful-bytes@0.1.1.0/proof_fast_find.bend as ProofFastFind Lines 353-363 of lawful-bytes@0.1.1.0/proof_fast_find.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/proof_fast_find.bend&start_line=353&end_line=363 import Base # Word index bounds: the words searched lie inside the block. law wlt: for +w: Nat for +k: Nat for +tt: Nat for +ll: Nat for +pp: Nat for +h1: {Nat.is_lt(Nat.mul(Nat.add(w, k), 4n), tt) == True{} : Bool} for +h2: {Nat.is_le(tt, ll) == True{} : Bool} for +h3: {Nat.is_le(ll, Nat.mul(4n, pp)) == True{} : Bool} {Nat.is_lt(w, pp) == True{} : Bool} Uses (14): https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_base.bend&name=subst https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=le_add_r https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=le_lt_trans https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=le_mul_r https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=le_trans https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=lt_le_trans https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=lt_mul_cancel https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=mul_comm