AllocationPROOF.attach_decided_length: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend as AllocationPROOF
Lines 56-65 of bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend&start_line=56&end_line=65

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
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core
import bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend as Lifecycle
import bendtorch-core@0.1.0.0/src/tensor/allocation_spec.bend as Allocation

def attach_decided_length(+shape: Shape.Shape, +length: Nat, decision: Shape.BoolCase<Nat.is_eq(length, Shape.elements(shape))>,
  storage: Storage.Storage, exact: {Lifecycle.logical_length(storage) == length : Nat}, accepted: {True{} == Nat.is_eq(length, Shape.elements(shape)) : Bool}) ->
  {Allocation.tensor_length(shape, Core.attach_decided(shape, storage, length, exact, decision)) == Some{Shape.logical_numel(Shape.dimensions(shape))} : Maybe<&2, Nat>}:
  match decision:
    case Shape.BFalse{equal}:
      Empty.absurd({None{} == Some{Shape.logical_numel(Shape.dimensions(shape))} : Maybe<&2, Nat>}, Nats.contradiction(Nat.is_eq(length, Shape.elements(shape)), accepted, equal))
    case Shape.BTrue{equal}:
      Equal.cong(Nat, Maybe<&2, Nat>, n => Some{n}, Lifecycle.logical_length(storage), Shape.logical_numel(Shape.dimensions(shape)),
        Equal.trans(Nat, Lifecycle.logical_length(storage), length, Shape.logical_numel(Shape.dimensions(shape)), exact,
          Equal.trans(Nat, length, Shape.elements(shape), Shape.logical_numel(Shape.dimensions(shape)), Lifecycle.natural_equal(length, Shape.elements(shape), equal), Shape.elements_exact(shape))))

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=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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_eq
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BoolCase
  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/shape/nat_proofs.bend&name=contradiction
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=Storage
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/allocation_spec.bend&name=tensor_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=attach_decided
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=logical_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=natural_equal