Arith.cmul: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend as Arith
Lines 25-26 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend&start_line=25&end_line=26

import Base

def cmul(+a: Nat, +a2: Nat, +b: Nat, +b2: Nat, +ea: {a == a2 : Nat}, +eb: {b == b2 : Nat}) -> {Nat.mul(a, b) == Nat.mul(a2, b2) : Nat}:
  tr(Nat.mul(a, b), Nat.mul(a2, b), Nat.mul(a2, b2), Equal.cong(Nat, Nat, t => Nat.mul(t, b), a, a2, ea), Equal.cong(Nat, Nat, t => Nat.mul(a2, t), b, b2, eb))

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/poly1305/arith.bend&name=tr