BinaryBuildProof.left_below: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend as BinaryBuildProof
Lines 158-165 of bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend&start_line=158&end_line=165

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/tensor/elementwise.bend as Elementwise
import bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend as Broadcast
import bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast_proof.bend as BroadcastProof

def left_below(+plan: Shape.BroadcastPlan, +count: Nat, +nl: Nat, +position: Nat,
  +count_exact: {count == Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))) : Nat},
  +left_count: {nl == Shape.logical_numel(Shape.dimensions(Shape.left_shape(plan))) : Nat},
  +decided: {True{} == Nat.is_lt(position, count) : Bool}) ->
  {Nat.is_lt(U32.to_nat(left_index(plan, position)), nl) == True{} : Bool}:
  word_below(Shape.left_shape(plan), nl, Elementwise.left_walk(Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan)), Shape.index_map(plan), position), left_count,
    %Equal.sym(Nat, Elementwise.left_walk(Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan)), Shape.index_map(plan), position), Broadcast.left_walk(Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan)), Shape.index_map(plan), position), walk_left_same(Shape.extents(Shape.left_shape(plan)), Shape.extents(Shape.right_shape(plan)), Shape.extents(Shape.output_shape(plan)), Shape.index_map(plan), position)) : {Nat.is_lt(_, Shape.logical_numel(Shape.dimensions(Shape.left_shape(plan)))) == True{} : Bool}
    BroadcastProof.left_walk_bound(plan, Shape.index_map(plan), position, output_below(plan, count, position, count_exact, decided)))

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.sym
  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.to_nat
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=BroadcastPlan
  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=extents
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=index_map
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=left_shape
  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/shape/core.bend&name=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=right_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend&name=left_index
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend&name=output_below
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend&name=walk_left_same
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_build_proof.bend&name=word_below
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast.bend&name=left_walk
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/broadcast_proof.bend&name=left_walk_bound
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/elementwise.bend&name=left_walk