Lifecycle.natural_equal: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
Lines 138-147 of bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&start_line=138&end_line=147

import Base

def natural_equal(+a: Nat, +b: Nat, equal: {True{} == Nat.is_eq(a, b) : Bool}) -> {a == b : Nat}:
  match a b:
    case 0n 0n:
      {==}
    case 0n 1n+q:
      Empty.absurd({0n == 1n+q : Nat}, false_true(equal))
    case 1n+p 0n:
      Empty.absurd({1n+p == 0n : Nat}, false_true(equal))
    case 1n+p 1n+q:
      Equal.cong(Nat, Nat, x => 1n+x, p, q, natural_equal(p, q, equal))

Uses (6):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  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.is_eq
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=false_true