def natural_decided_certificate

bendtorch-core@0.1.0.0 · src/tensor/transform_PROOF.bend:670

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
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/transforms.bend as Transforms

670def natural_decided_certificate(+input: Shape.Shape, +axes: List<&2, U32>, +plan: Layout.Plan<input, axes>, +cursor: Nat, +index: U32,
671  source: Core.Tensor<input>, target: Core.Tensor<Layout.output(input, axes, plan)>,
672  -candidate: {index == U32.from_nat(cursor) : U32},
673  decision: Shape.BoolCase<Nat.is_eq(U32.to_nat(index), cursor)>,
674  same: {Transforms.natural_decided(input, axes, plan, cursor, index, source, target, candidate, decision) ==
675    Transforms.natural_step(input, axes, plan, cursor, source, target) : Transforms.NaturalCopy<input, axes, plan, cursor>}) ->
676  Transforms.NaturalCertificate<input, axes, plan, cursor, source, target>:
677  match decision:
678    case Shape.BFalse{equal}:
679      Transforms.NaturalCertificate{Transforms.NaturalError{source}, same, Unit{}}
680    case Shape.BTrue{equal}:
681      natural_step_lift(input, axes, plan, cursor, index, source, target, candidate, equal, same, step_certificate(input, axes, plan, index, source, target))