ReduceReplayedProof.new_spec: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend as ReduceReplayedProof
Lines 277-289 of bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend&start_line=277&end_line=289

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

def new_spec(+plan: Shape.BroadcastPlan, +map: PlanMap(plan), +shape: Shape.Shape, +fill: F32, +ops: List<&2, StorageLaws.Op>, +depth: Nat, +base: Nat) -> {Array.new(F32, depth, 0.0) == out_spec(plan, map, shape, fill, ops, 0n, depth, base) : Array<F32>}:
  match depth:
    case 0n:
      %Equal.sym(Bool, Nat.is_lt(base, 0n), False{}, lt_zero_false(base)) :
        {ALeaf{0.0} == ALeaf{out_leaf(plan, map, shape, fill, ops, base, _)} : Array<F32>}
      {==}
    case 1n+inner:
      %Equal.sym(Array<F32>, Array.new(F32, inner, 0.0), out_spec(plan, map, shape, fill, ops, 0n, inner, base), new_spec(plan, map, shape, fill, ops, inner, base)) :
        {ANode{_, Array.new(F32, inner, 0.0)} == out_spec(plan, map, shape, fill, ops, 0n, 1n+inner, base) : Array<F32>}
      %Equal.sym(Array<F32>, Array.new(F32, inner, 0.0), out_spec(plan, map, shape, fill, ops, 0n, inner, Nat.add(Model.capacity(inner), base)),
        new_spec(plan, map, shape, fill, ops, inner, Nat.add(Model.capacity(inner), base))) :
        {ANode{out_spec(plan, map, shape, fill, ops, 0n, inner, base), _} == out_spec(plan, map, shape, fill, 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/autograd/reduce_replayed_proof.bend&name=PlanMap
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend&name=lt_zero_false
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend&name=out_leaf
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_replayed_proof.bend&name=out_spec
  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