ReduceFiberProof.le_lt_absurd: 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 343-350 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=343&end_line=350

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

def le_lt_absurd(+a: Nat, +b: Nat, le: {Nat.is_le(a, b) == True{} : Bool}, lt: {Nat.is_lt(b, a) == True{} : Bool}) -> Empty:
  match a b:
    case 0n b:
      Arith.lt_zero(b, lt)
    case 1n+p 0n:
      Arith.clash(le)
    case 1n+p 1n+q:
      le_lt_absurd(p, q, le, lt)

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
  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=lt_zero