BinaryProofs.output_positive: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend as BinaryProofs
Lines 343-348 of bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/tensor/contracts/binary_proofs.bend&start_line=343&end_line=348

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/storage/model.bend as Model
import bendtorch-core@0.1.0.0/src/storage/main.bend as Storage
import bendtorch-core@0.1.0.0/src/storage/arith.bend as Arith
import bendtorch-core@0.1.0.0/src/tensor/read_contract.bend as Reads

def output_positive(+plan: Shape.BroadcastPlan, +d: Nat, +fits: {Storage.bounds(d, U32.to_nat(Shape.count(Shape.output_shape(plan)))) == True{} : Bool}) ->
  {Nat.is_lt(0n, Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan)))) == True{} : Bool}:
  Equal.trans(Bool, Nat.is_lt(0n, Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan)))), Nat.is_lt(0n, U32.to_nat(Shape.count(Shape.output_shape(plan)))), True{},
    Equal.cong(Nat, Bool, x => Nat.is_lt(0n, x), Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))), U32.to_nat(Shape.count(Shape.output_shape(plan))), Equal.sym(Nat, U32.to_nat(Shape.count(Shape.output_shape(plan))), Shape.logical_numel(Shape.dimensions(Shape.output_shape(plan))), Reads.count_exact(Shape.output_shape(plan)))),
    Arith.and_left(Nat.is_lt(0n, U32.to_nat(Shape.count(Shape.output_shape(plan)))), Nat.is_le(U32.to_nat(Shape.count(Shape.output_shape(plan))), Model.capacity(d)),
      Arith.and_right(Nat.is_le(d, 20n), Bool.and(Nat.is_lt(0n, U32.to_nat(Shape.count(Shape.output_shape(plan)))), Nat.is_le(U32.to_nat(Shape.count(Shape.output_shape(plan))), Model.capacity(d))), fits)))

Uses (19):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  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.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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_le
  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=count
  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/shape/core.bend&name=output_shape
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=and_left
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/arith.bend&name=and_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/main.bend&name=bounds
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/storage/model.bend&name=capacity
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/tensor/read_contract.bend&name=count_exact