SignedPROOF.le_from_lt: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend as SignedPROOF
Lines 33-43 of bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend&start_line=33&end_line=43

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

# a < 1 + b gives a <= b.
def le_from_lt(+a: Nat, +b: Nat, h: {Nat.is_lt(a, 1n+b) == True{} : Bool}) -> {Nat.is_le(a, b) == True{} : Bool}:
  match a:
    case 0n:
      Arith.le_zero(b)
    case 1n+p:
      match b:
        case 0n:
          Empty.absurd({Nat.is_le(1n+p, 0n) == True{} : Bool}, Arith.lt_zero(p, h))
        case 1n+q:
          le_from_lt(p, q, h)

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