ProofValue.wn.cmp_gt: def of bend-osdev-word64@0.1.1.0
Import: import bend-osdev-word64@0.1.1.0/proof_value.bend as ProofValue
Lines 227-236 of bend-osdev-word64@0.1.1.0/proof_value.bend: https://jend.leeeet.dev/read.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&start_line=227&end_line=236

import Base

def wn.cmp_gt(x: Nat, y: Nat, h: {Nat.is_lt(y, x) == True{} : Bool}) -> {Nat.cmp(x, y) == GT{} : Cmp}:
  match x y:
    case 0n 0n:
      Empty.absurd({EQ{} == GT{} : Cmp}, wn.ft(h))
    case 0n 1n+q:
      Empty.absurd({LT{} == GT{} : Cmp}, wn.ft(h))
    case 1n+p 0n:
      {==}
    case 1n+p 1n+q:
      wn.cmp_gt(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=Cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.cmp
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=bend-osdev-word64@0.1.1.0/proof_value.bend&name=wn.ft