def is_eq_lt

bend-collections-laws-crypto@1.0.0.0 · proofs/lib/nat.bend:241

import Base

241def is_eq_lt(+a: Nat, +b: Nat, e: {Nat.is_lt(a, b) == True{} : Bool}) -> {Nat.is_eq(a, b) == False{} : Bool}:
242  match a b:
243    case _ 0n:
244      Empty.absurd({Nat.is_eq(a, 0n) == False{} : Bool}, lt_zero_absurd(a, e))
245    case 0n 1n+q:
246      {==}
247    case 1n+p 1n+q:
248      is_eq_lt(p, q, e)