MatmulProof.kept_value: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend as MatmulProof
Lines 156-166 of bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/matmul_proof.bend&start_line=156&end_line=166

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_proof.bend as PointwiseProof

def kept_value(+shape: Shape.Shape, +fill: F32, +ops: List<&2, StorageLaws.Op>, +history: List<&2, StorageLaws.Op>,
  -fits: {Lifecycle.logical_length(Replayed.storage(shape, fill, history)) == 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},
  same: {Replayed.value(shape, fill, history, index) == Replayed.value(shape, fill, ops, index) : F32}) ->
  {Core.dynamic_read_value(Core.read_dynamic(Core.Packed{shape, Core.TTensor{Replayed.storage(shape, fill, history), fits}}, index)) ==
    Some{Replayed.value(shape, fill, ops, index)} : Maybe<&2, F32>}:
  Equal.trans(Maybe<&2, F32>,
    Core.dynamic_read_value(Core.read_dynamic(Core.Packed{shape, Core.TTensor{Replayed.storage(shape, fill, history), fits}}, index)),
    Some{Replayed.value(shape, fill, history, index)}, Some{Replayed.value(shape, fill, ops, index)},
    PointwiseProof.replayed_point(shape, fill, history, fits, index, inside),
    Equal.cong(F32, Maybe<&2, F32>, word => Some{word}, Replayed.value(shape, fill, history, index), Replayed.value(shape, fill, ops, index), same))

Uses (22):
  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=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_proof.bend&name=replayed_point
  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