SignedPROOF.times_classify: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend as SignedPROOF
Lines 343-356 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=343&end_line=356

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend as NatProofs
import bendtorch-core@0.1.0.0/src/tensor/signed.bend as Signed
import bendtorch-core@0.1.0.0/src/tensor/signed_LAWS.bend as Laws

# times on a classified product classifies the product times the size.
def times_classify(+bound: Nat, +size: Nat, +product: Nat) ->
  {Signed.times(bound, size, Laws.classify(bound, product)) == Laws.classify(bound, Nat.mul(size, product)) : Signed.Product}:
  match size:
    case 0n:
      {==}
    case 1n+less:
      match product:
        case 0n:
          %Equal.sym(Nat, Nat.mul(1n+less, 0n), 0n, NatProofs.mul_zero_right(1n+less)) :
            {Signed.ZeroProduct{} == Laws.classify(bound, _) : Signed.Product}
          {==}
        case 1n+rest:
          times_within(bound, less, rest, Shape.bool_case(Nat.is_le(1n+rest, bound)))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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.mul
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=bool_case
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend&name=mul_zero_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed.bend&name=Product
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed.bend&name=times
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed_LAWS.bend&name=classify
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/signed_PROOF.bend&name=times_within