Reducek.addmul: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reducek.bend as Reducek
Lines 24-27 of bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reducek.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/crypto/secp256k1/reducek.bend&start_line=24&end_line=27

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend as NA

# t + t c = (1 + c) t
def addmul(+t: Nat, +cv: Nat) -> {Nat.add(t, Nat.mul(t, cv)) == Nat.mul(1n+cv, t) : Nat}:
  %Equal.sym(Nat, Nat.mul(t, cv), Nat.mul(cv, t), NA.mul_comm(t, cv)) : {Nat.add(t, _) == Nat.mul(1n+cv, t) : Nat}
  {==}

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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.mul
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend&name=mul_comm