MatmulPROOF.inside_le: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend as MatmulPROOF
Lines 659-668 of bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/matmul_PROOF.bend&start_line=659&end_line=668

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

def inside_le(+index: Nat, +limit: Nat, inside: {Nat.is_lt(index, limit) == True{} : Bool}) -> {Nat.is_le(index, limit) == True{} : Bool}:
  match index limit:
    case 0n 0n:
      Empty.absurd({True{} == True{} : Bool}, Arith.clash(inside))
    case 0n 1n+q:
      {==}
    case 1n+p 0n:
      Empty.absurd({False{} == True{} : Bool}, Arith.clash(inside))
    case 1n+p 1n+q:
      inside_le(p, q, inside)

Uses (6):
  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