ReduceFiberProof.lt_succ_right: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend as ReduceFiberProof
Lines 313-320 of bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend&start_line=313&end_line=320

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

def lt_succ_right(+b: Nat, +k: Nat, h: {Nat.is_lt(b, k) == True{} : Bool}) -> {Nat.is_lt(b, 1n+k) == True{} : Bool}:
  match b k:
    case 0n k:
      {==}
    case 1n+p 0n:
      Empty.absurd({Nat.is_lt(1n+p, 1n) == True{} : Bool}, Arith.clash(h))
    case 1n+p 1n+q:
      lt_succ_right(p, q, h)

Uses (5):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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.is_lt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=clash