ElementwiseParallelProof.output_bound: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend as ElementwiseParallelProof
Lines 457-461 of bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise_parallel_proof.bend&start_line=457&end_line=461

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_bound(+plan: Shape.BroadcastPlan, +index: U32, +bound: Shape.LT(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))))) ->
  {True{} == Nat.is_lt(U32.to_nat(index), Shape.elements(Shape.output_shape(plan))) : Bool}:
  %Equal.sym(Nat, Shape.elements(Shape.output_shape(plan)), Shape.numel(Shape.extents(Shape.output_shape(plan))), Shape.elements_exact(Shape.output_shape(plan))) :
    {True{} == Nat.is_lt(U32.to_nat(index), _) : Bool}
  Nats.lt_true(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))), bound)

Uses (16):
  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=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/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=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