Inverse.inv_ka: def of bend-collections-laws-crypto@1.0.0.0
Import: import bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/inverse.bend as Inverse
Lines 154-155 of bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/inverse.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/inverse.bend&start_line=154&end_line=155

import Base
import bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/gcd.bend as G

def inv_ka(+a: Nat, +mp: Nat) -> Nat:
  Nat.add(Nat.mul(Nat.div(a, 1n+mp), inv_km(a, mp)), G.wr(G.ws(1n+mp, 1n+mp, Nat.mod(a, 1n+mp))))

Uses (8):
  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.div
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mod
  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/math/natural/gcd.bend&name=wr
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/gcd.bend&name=ws
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-crypto@1.0.0.0/proofs/math/natural/inverse.bend&name=inv_km