BinaryProofs.new_spec: 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 55-67 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=55&end_line=67

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
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/build_facts.bend as Facts

def new_spec(+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>, +depth: Nat, +base: Nat) -> {Array.new(F32, depth, 0.0) == out_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, 0n, depth, base) : Array<F32>}:
  match depth:
    case 0n:
      %Equal.sym(Bool, Nat.is_lt(base, 0n), False{}, Facts.lt_zero_false(base)) :
        {ALeaf{0.0} == ALeaf{out_leaf(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, base, _)} : Array<F32>}
      {==}
    case 1n+inner:
      %Equal.sym(Array<F32>, Array.new(F32, inner, 0.0), out_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, 0n, inner, base), new_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, inner, base)) :
        {ANode{_, Array.new(F32, inner, 0.0)} == out_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, 0n, 1n+inner, base) : Array<F32>}
      %Equal.sym(Array<F32>, Array.new(F32, inner, 0.0), out_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, 0n, inner, Nat.add(Model.capacity(inner), base)),
        new_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, inner, Nat.add(Model.capacity(inner), base))) :
        {ANode{out_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, 0n, inner, base), _} == out_spec(operation, plan, left, left_fill, left_ops, right, right_fill, right_ops, 0n, 1n+inner, base) : Array<F32>}
      {==}

Uses (17):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Array.new
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  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/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/storage/model.bend&name=capacity
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend&name=out_leaf
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend&name=out_spec
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/build_facts.bend&name=lt_zero_false
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=Operation