GradientPROOF.written_false: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend as GradientPROOF
Lines 294-319 of bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&start_line=294&end_line=319

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/core.bend as Core

def written_false(+shape: Shape.Shape, -original: Core.Tensor<shape>, -contribution: Core.Dynamic, +cursor: Nat,
  -before: Core.Tensor<shape>, -read_owner: Core.Tensor<shape>, -written: Core.Tensor<shape>, +index: U32,
  +other: U32, -equal: {False{} == Nat.is_eq(U32.to_nat(index), U32.to_nat(other)) : Bool},
  -inside: {Nat.is_lt(U32.to_nat(other), Shape.logical_numel(Shape.dimensions(shape))) == True{} : Bool},
  -exact: {U32.to_nat(index) == cursor : Nat},
  -inv: Inv(shape, original, contribution, cursor, before),
  -kept: {Core.checked_observe(shape, read_owner, other) == Core.checked_observe(shape, before, other) : Maybe<&2, F32>},
  -frame: {Core.checked_observe(shape, written, other) == Core.checked_observe(shape, read_owner, other) : Maybe<&2, F32>}) ->
  Holds<{Core.checked_observe(shape, written, other) ==
    partial(Nat.is_lt(U32.to_nat(other), 1n+cursor), Core.checked_observe(shape, original, other), Core.checked_observe_dynamic(contribution, other)) : Maybe<&2, F32>}>:
  Holds{Equal.trans(Maybe<&2, F32>, Core.checked_observe(shape, written, other), Core.checked_observe(shape, read_owner, other),
    partial(Nat.is_lt(U32.to_nat(other), 1n+cursor), Core.checked_observe(shape, original, other), Core.checked_observe_dynamic(contribution, other)),
    frame,
    Equal.trans(Maybe<&2, F32>, Core.checked_observe(shape, read_owner, other), Core.checked_observe(shape, before, other),
      partial(Nat.is_lt(U32.to_nat(other), 1n+cursor), Core.checked_observe(shape, original, other), Core.checked_observe_dynamic(contribution, other)),
      kept,
      Equal.trans(Maybe<&2, F32>, Core.checked_observe(shape, before, other),
        partial(Nat.is_lt(U32.to_nat(other), cursor), Core.checked_observe(shape, original, other), Core.checked_observe_dynamic(contribution, other)),
        partial(Nat.is_lt(U32.to_nat(other), 1n+cursor), Core.checked_observe(shape, original, other), Core.checked_observe_dynamic(contribution, other)),
        inv(other)(inside),
        %lt_step(U32.to_nat(other), cursor,
          %exact : {False{} == Nat.is_eq(_, U32.to_nat(other)) : Bool}
          equal) :
          {partial(Nat.is_lt(U32.to_nat(other), cursor), Core.checked_observe(shape, original, other), Core.checked_observe_dynamic(contribution, other)) ==
            partial(_, Core.checked_observe(shape, original, other), Core.checked_observe_dynamic(contribution, other)) : Maybe<&2, F32>}
        {==})))}

Uses (20):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=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=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/autograd/gradient_PROOF.bend&name=Holds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=Inv
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=lt_step
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/autograd/gradient_PROOF.bend&name=partial
  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/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=checked_observe
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/core.bend&name=checked_observe_dynamic