PointwiseProof.input_point: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend as PointwiseProof
Lines 457-468 of bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&start_line=457&end_line=468

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/LAWS.bend as StorageLaws
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/contracts/replayed.bend as Replayed
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise.bend as Pointwise

def input_point(~P: Data, ~map: P -> Nat -> Nat, +plan: P, +count: Nat, +shape: Shape.Shape, +fill: F32, +ops: List<&2, StorageLaws.Op>,
  -fits: {Lifecycle.logical_length(input_storage(~P, ~map, plan, shape, fill, ops, count)) == Shape.logical_numel(Shape.dimensions(shape)) : Nat},
  +index: U32, inside: {Nat.is_lt(U32.to_nat(index), Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool}) ->
  {Core.dynamic_read_value(Core.read_dynamic(Core.Packed{shape, Core.TTensor{input_storage(~P, ~map, plan, shape, fill, ops, count), fits}}, index)) ==
    Some{Replayed.value(shape, fill, ops, index)} : Maybe<&2, F32>}:
  +seen = List.append(&2, StorageLaws.Op, ops, Pointwise.reads(~P, ~map, plan, count))
  Equal.trans(Maybe<&2, F32>,
    Core.dynamic_read_value(Core.read_dynamic(Core.Packed{shape, Core.TTensor{Replayed.storage(shape, fill, seen), fits}}, index)),
    Some{Replayed.value(shape, fill, seen, index)}, Some{Replayed.value(shape, fill, ops, index)},
    replayed_point(shape, fill, seen, fits, index, inside),
    Equal.cong(F32, Maybe<&2, F32>, word => Some{word}, Replayed.value(shape, fill, seen, index), Replayed.value(shape, fill, ops, index),
      value_reads(~P, ~map, plan, count, shape, fill, ops, index)))

Uses (26):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=F32
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  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_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=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=logical_numel
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/LAWS.bend&name=Op
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise.bend&name=reads
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=input_storage
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=replayed_point
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=value_reads
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=storage
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=Tensor
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=dynamic_read_value
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=read_dynamic
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/lifecycle.bend&name=logical_length