PermuteBuildProof.plan_numel: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend as PermuteBuildProof
Lines 327-333 of bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend&start_line=327&end_line=333

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/layout.bend as Layout

def plan_numel(+input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>) ->
  {Shape.logical_numel(Shape.dimensions(Layout.output(input, axes, plan))) == Shape.logical_numel(Shape.dimensions(input)) : Nat}:
  +output = Layout.output(input, axes, plan)
  Equal.trans(Nat, Shape.logical_numel(Shape.dimensions(output)), Shape.elements(output), Shape.logical_numel(Shape.dimensions(input)),
    Equal.sym(Nat, Shape.elements(output), Shape.logical_numel(Shape.dimensions(output)), Shape.elements_exact(output)),
    Equal.trans(Nat, Shape.elements(output), Shape.elements(input), Shape.logical_numel(Shape.dimensions(input)),
      plan_elements(input, axes, plan), Shape.elements_exact(input)))

Uses (13):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=U32
  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=elements
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=elements_exact
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=Plan
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/layout.bend&name=output
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/permute_build_proof.bend&name=plan_elements