UniqueProofs.balance: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend as UniqueProofs
Lines 48-49 of bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/unique_proofs.bend&start_line=48&end_line=49

import Base
import bendtorch-core@0.1.0.0/src/shape/core.bend as Shape
import bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend as Broadcast

def balance(+left_padding: Nat, +right_padding: Nat, +left: List<&2, Nat>, +right: List<&2, Nat>, +output: List<&2, Nat>, +aligned: Shape.Aligned(Shape.pad(left_padding, left), Shape.pad(right_padding, right), output)) -> {Nat.add(left_padding, List.length(&2, Nat, left)) == Nat.add(right_padding, List.length(&2, Nat, right)) : Nat}:
  Equal.trans(Nat, Nat.add(left_padding, List.length(&2, Nat, left)), List.length(&2, Nat, Shape.pad(left_padding, left)), Nat.add(right_padding, List.length(&2, Nat, right)), Broadcast.pad_length(left_padding, left), Equal.trans(Nat, List.length(&2, Nat, Shape.pad(left_padding, left)), List.length(&2, Nat, output), Nat.add(right_padding, List.length(&2, Nat, right)), Broadcast.aligned_length_left(Shape.pad(left_padding, left), Shape.pad(right_padding, right), output, aligned), Equal.trans(Nat, List.length(&2, Nat, output), List.length(&2, Nat, Shape.pad(right_padding, right)), Nat.add(right_padding, List.length(&2, Nat, right)), Equal.sym(Nat, List.length(&2, Nat, Shape.pad(right_padding, right)), List.length(&2, Nat, output), Broadcast.aligned_length_right(Shape.pad(left_padding, left), Shape.pad(right_padding, right), output, aligned)), Equal.sym(Nat, Nat.add(right_padding, List.length(&2, Nat, right)), List.length(&2, Nat, Shape.pad(right_padding, right)), Broadcast.pad_length(right_padding, right)))))

Uses (11):
  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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend&name=aligned_length_left
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend&name=aligned_length_right
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend&name=pad_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Aligned
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=pad