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def le_step

bend-osdev-acpi@0.1.1.0 · PROOF.bend:2505

import bend-osdev-acpi@0.1.1.0/PROOF.bend as PROOF
import Base

2505def le_step(+a: Nat, +b: Nat, +e: {Nat.is_le(a, b) == True{} : Bool}) -> {Nat.is_le(a, 1n+b) == True{} : Bool}:
2506  match a b:
2507    case 0n _:
2508      {==}
2509    case 1n+ap 0n:
2510      Empty.absurd({Nat.is_le(1n+ap, 1n+0n) == True{} : Bool}, ft_absurd(e))
2511    case 1n+ap 1n+bp:
2512      le_step(ap, bp, e)

Uses (5)

Used by (1)