F64sqa.sqm: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64sqa.bend as F64sqa
Lines 16-17 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64sqa.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/f64sqa.bend&start_line=16&end_line=17

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

def sqm(+a: Nat) -> {Nat.pow(a, 2n) == Nat.mul(a, a) : Nat}:
  Equal.cong(Nat, Nat, z => Nat.mul(a, z), Nat.mul(a, 1n), a, NA.mul_one(a))

Uses (5):
  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=Base/base.bend&name=Nat.pow
  https://jend.leeeet.dev/definition.txt?path=bend-collections-laws-math@1.0.0.0/proofs/lib/lemmas/proofs/nat_algebra.bend&name=mul_one