def retained_length

bendtorch-core@0.1.0.0 · src/tensor/construction_contract_PROOF.bend:290

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
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/allocation_spec.bend as Allocation
import bendtorch-core@0.1.0.0/src/tensor/allocation_PROOF.bend as AllocationProof
import bendtorch-core@0.1.0.0/src/tensor/word_conversion.bend as Conversion
import bendtorch-core@0.1.0.0/src/tensor/observation.bend as Observation

290def retained_length(+shape: Shape.Shape, +fill: F32, +index: U32) ->
291  {Observation.after_length(shape, index, Core.new(shape, fill)) == Some{Shape.logical_numel(Shape.dimensions(shape))} : Maybe<&2, Nat>}:
292  result_length(shape, index, Storage.new(Shape.count(shape), fill),
293    Equal.trans(Maybe<&2, Nat>, Allocation.storage_length(Storage.new(Shape.count(shape), fill)), Some{U32.to_nat(Shape.count(shape))}, Some{Shape.elements(shape)},
294      AllocationProof.storage_new(Shape.count(shape), fill, Conversion.shape_count_within(shape)),
295      Equal.cong(Nat, Maybe<&2, Nat>, number => Some{number}, U32.to_nat(Shape.count(shape)), Shape.elements(shape), Conversion.shape_count_exact(shape))),
296    stored_after_length(shape, fill, index))