SlicePROOF.max_left: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend as SlicePROOF
Lines 75-84 of bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/slice_PROOF.bend&start_line=75&end_line=84

import Base
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith

def max_left(+a: Nat, +b: Nat, h: {Nat.is_le(b, a) == True{} : Bool}) -> {Nat.max(a, b) == a : Nat}:
  match a b:
    case 0n 0n:
      {==}
    case 0n 1n+q:
      Empty.absurd({Nat.max(0n, 1n+q) == 0n : Nat}, Arith.clash(h))
    case 1n+p 0n:
      {==}
    case 1n+p 1n+q:
      Equal.cong(Nat, Nat, x => 1n+x, Nat.max(p, q), p, max_left(p, q, h))

Uses (7):
  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_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.max
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=clash