TensorVjpLAWS.PairContract: type of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_LAWS.bend as TensorVjpLAWS
Lines 106-119 of bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_LAWS.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_LAWS.bend&start_line=106&end_line=119

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

# What a VJP that sends two contributions promises: the first goes to node a
# with left's dimensions and holds left_cell(i) at every in-bounds i, the
# second goes to node b with right's dimensions and holds right_cell(i).
type PairContract<-a: Nat, -left: Shape.Shape, -left_cell: U32 -> Maybe<&2, F32>,
  -b: Nat, -right: Shape.Shape, -right_cell: U32 -> Maybe<&2, F32>, -pass: Backward.Pass> is Type:
  PairContract{
    first_target: {TensorBackward.sole_target(first_of(pass)) == Some{a} : Maybe<&2, Nat>},
    first_dimensions: {TensorBackward.sole_dimensions(first_of(pass)) == Some{Shape.dimensions(left)} : Maybe<&2, List<&2, U32>>},
    first_value: @+index: U32 -> @inside: {Nat.is_lt(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(left))) == True{} : Bool} ->
      {TensorBackward.sole_point(first_of(pass), index) == left_cell(index) : Maybe<&2, F32>},
    second_target: {TensorBackward.sole_target(second_of(pass)) == Some{b} : Maybe<&2, Nat>},
    second_dimensions: {TensorBackward.sole_dimensions(second_of(pass)) == Some{Shape.dimensions(right)} : Maybe<&2, List<&2, U32>>},
    second_value: @+index: U32 -> @inside: {Nat.is_lt(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(right))) == True{} : Bool} ->
      {TensorBackward.sole_point(second_of(pass), index) == right_cell(index) : Maybe<&2, F32>}}

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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_lt
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32.to_nat
  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_LAWS.bend&name=sole_dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_LAWS.bend&name=sole_point
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_backward_LAWS.bend&name=sole_target
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_LAWS.bend&name=first_of
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/tensor_vjp_LAWS.bend&name=second_of
  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/shape/core.bend&name=dimensions
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=logical_numel