def natural_lt_different

bendtorch-core@0.1.0.0 · src/tensor/transform_PROOF.bend:700

import Base
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle

700def natural_lt_different(+a: Nat, +b: Nat, earlier: {Nat.is_lt(a, b) == True{} : Bool}) ->
701  {Nat.is_eq(b, a) == False{} : Bool}:
702  match a b:
703    case 0n 0n:
704      Empty.absurd({True{} == False{} : Bool}, Lifecycle.false_true(Equal.sym(Bool, False{}, True{}, earlier)))
705    case 0n 1n+q:
706      {==}
707    case 1n+p 0n:
708      {==}
709    case 1n+p 1n+q:
710      natural_lt_different(p, q, earlier)