PointwiseProof.lt_succ_le: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend as PointwiseProof
Lines 98-108 of bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&start_line=98&end_line=108

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

def lt_succ_le(+index: Nat, +bound: Nat, below: {Nat.is_lt(index, bound) == True{} : Bool}) ->
  {Nat.is_le(1n+index, bound) == True{} : Bool}:
  match index bound:
    case 0n 0n:
      Empty.absurd({Nat.is_le(1n, 0n) == True{} : Bool}, Arith.clash(below))
    case 0n 1n+q:
      Arith.le_zero(q)
    case 1n+p 0n:
      Empty.absurd({Nat.is_le(2n+p, 0n) == True{} : Bool}, Arith.clash(below))
    case 1n+p 1n+q:
      lt_succ_le(p, q, below)

Uses (7):
  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_le
  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
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=le_zero