BinaryProofs.cells_snoc: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend as BinaryProofs
Lines 272-278 of bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend&start_line=272&end_line=278

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
import bendtorch-core@0.1.0.0/src/tensor/elementwise.bend as Elementwise
import bendtorch-core@0.1.0.0/src/tensor/contracts/binary_LAWS.bend as Laws

def cells_snoc(+operation: Elementwise.Operation, +plan: Shape.BroadcastPlan, +left: Shape.Shape, +left_fill: F32, +left_ops: List<&2, StorageLaws.Op>, +right: Shape.Shape, +right_fill: F32, +right_ops: List<&2, StorageLaws.Op>, +previous: Nat, +before: List<&2, F32>, +word: F32, +other: F32,
  rest: {before == Laws.cells(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, previous) : List<&2, F32>}, last: {word == other : F32}) ->
  {List.append(&2, F32, before, [word]) == List.append(&2, F32, Laws.cells(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, previous), [other]) : List<&2, F32>}:
  Equal.trans(List<&2, F32>, List.append(&2, F32, before, [word]), List.append(&2, F32, Laws.cells(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, previous), [word]),
    List.append(&2, F32, Laws.cells(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, previous), [other]),
    Equal.cong(List<&2, F32>, List<&2, F32>, values => List.append(&2, F32, values, [word]), before, Laws.cells(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, previous), rest),
    Equal.cong(F32, List<&2, F32>, value => List.append(&2, F32, Laws.cells(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, previous), [value]), word, other, last))

Uses (11):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  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/storage/LAWS.bend&name=Op
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_LAWS.bend&name=cells
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=Operation