def gt_not_eq

bendtorch-core@0.1.0.0 · src/autograd/reduce_fiber_proof.bend:322

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

322def gt_not_eq(+a: Nat, +b: Nat, h: {Nat.is_lt(b, a) == True{} : Bool}) -> {Nat.is_eq(a, b) == False{} : Bool}:
323  match a b:
324    case 0n b:
325      Empty.absurd({Nat.is_eq(0n, b) == False{} : Bool}, Arith.lt_zero(b, h))
326    case 1n+p 0n:
327      {==}
328    case 1n+p 1n+q:
329      gt_not_eq(p, q, h)