PointwiseProof.value_reads: 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 55-64 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=55&end_line=64

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/contracts/replayed.bend as Replayed
import bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise.bend as Pointwise

def value_reads(~P: Data, ~map: P -> Nat -> Nat, +plan: P, +count: Nat, +shape: Shape.Shape, +fill: F32,
  +ops: List<&2, StorageLaws.Op>, +index: U32) ->
  {Replayed.value(shape, fill, List.append(&2, StorageLaws.Op, ops, Pointwise.reads(~P, ~map, plan, count)), index) ==
    Replayed.value(shape, fill, ops, index) : F32}:
  Equal.trans(F32,
    Replayed.value(shape, fill, List.append(&2, StorageLaws.Op, ops, Pointwise.reads(~P, ~map, plan, count)), index),
    StorageLaws.expected(Pointwise.reads(~P, ~map, plan, count), U32.to_nat(Shape.count(shape)), index, Replayed.value(shape, fill, ops, index)),
    Replayed.value(shape, fill, ops, index),
    expected_append(ops, Pointwise.reads(~P, ~map, plan, count), U32.to_nat(Shape.count(shape)), index, fill),
    expected_reads(~P, ~map, plan, count, U32.to_nat(Shape.count(shape)), index, Replayed.value(shape, fill, ops, index)))

Uses (15):
  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=Nat
  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=count
  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/storage/LAWS.bend&name=expected
  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=expected_append
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/pointwise_proof.bend&name=expected_reads
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/replayed.bend&name=value