TensorBackwardPROOF.frozen_nt_unsent: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend as TensorBackwardPROOF
Lines 68-74 of bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_PROOF.bend&start_line=68&end_line=74

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend as Backward

def frozen_nt_unsent(+id: Nat, +a: Nat, +b: Nat, +left: Shape.Shape, +right: Shape.Shape, saved: Backward.Saved, g: Core.Dynamic,
  computed: {Bool.and(Nat.is_eq(id, a), Bool.not(Nat.is_eq(id, b))) == False{} : Bool}) ->
  {Backward.nt_frozen(id, a, b, left, right, saved, g, Bool.and(Nat.is_eq(id, a), Bool.not(Nat.is_eq(id, b)))) ==
    Backward.unsent(id, Backward.vjp_matmul_nt(a, b, left, right, saved, g)) : Backward.Pass}:
  %Equal.sym(Bool, Bool.and(Nat.is_eq(id, a), Bool.not(Nat.is_eq(id, b))), False{}, computed) :
    {Backward.nt_frozen(id, a, b, left, right, saved, g, _) == Backward.unsent(id, Backward.vjp_matmul_nt(a, b, left, right, saved, g)) : Backward.Pass}
  {==}

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.not
  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_eq
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=Pass
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=Saved
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=nt_frozen
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=unsent
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward.bend&name=vjp_matmul_nt
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic