U32laws.dbl: def of bend-collections-laws-math@1.0.0.0
Import: import bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend as U32laws
Lines 179-185 of bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend: https://jend.leeeet.dev/read.txt?path=bend-collections-laws-math@1.0.0.0/proofs/math/typed/u32laws.bend&start_line=179&end_line=185

import Base

def dbl(+h: Nat) -> {Nat.mul(h, 2n) == Nat.double(h) : Nat}:
  match h:
    case 0n:
      {==}
    case 1n+ +p:
      %Equal.sym(Nat, Nat.mul(p, 2n), Nat.double(p), dbl(p)) : {Nat.add(2n, _) == Nat.double(1n+p) : 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.double
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul