BroadcastPROOF.output_inside: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/broadcast_PROOF.bend as BroadcastPROOF
Lines 124-134 of bendtorch-core@0.1.0.0/src/autograd/broadcast_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/broadcast_PROOF.bend&start_line=124&end_line=134

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend as Nats

def output_inside(+plan: Shape.BroadcastPlan, +target: Shape.Shape, +index: U32,
  -same_dims: {Shape.dimensions(Shape.output_shape(plan)) == Shape.dimensions(target) : List<&2, U32>},
  -inside: Shape.LT(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(target)))) ->
  Holds<{Nat.is_lt(U32.to_nat(index), Shape.elements(Shape.output_shape(plan))) == True{} : Bool}>:
  Holds{
    %Equal.sym(Nat, Shape.elements(Shape.output_shape(plan)), Shape.numel(Shape.extents(Shape.output_shape(plan))), Shape.elements_exact(Shape.output_shape(plan))) :
      {Nat.is_lt(U32.to_nat(index), _) == True{} : Bool}
    %Equal.sym(List<&2, U32>, Shape.dimensions(Shape.output_shape(plan)), Shape.dimensions(target), same_dims) :
      {Nat.is_lt(U32.to_nat(index), Shape.logical_numel(_)) == True{} : Bool}
    Equal.sym(Bool, True{}, Nat.is_lt(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(target))),
      Nats.lt_true(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(target)), inside))}

Uses (19):
  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=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.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/broadcast_PROOF.bend&name=Holds
  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=LT
  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=extents
  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/shape/core.bend&name=numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/nat_proofs.bend&name=lt_true