ProjectionProofs.left_padded: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/projection_proofs.bend as ProjectionProofs
Lines 118-123 of bendtorch-core@0.1.0.0/src/shape/projection_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/projection_proofs.bend&start_line=118&end_line=123

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 left_padded(+left: List<&2, Nat>, +right: List<&2, Nat>, +output: List<&2, Nat>, +alignment: Shape.Broadcast<left, right, output>) -> {List.length(&2, Nat, Shape.pad(Nat.sub(List.length(&2, Nat, output), List.length(&2, Nat, left)), left)) == List.length(&2, Nat, output) : Nat}:
  match alignment:
    case Shape.BAlign{+lp, +rp, minimal, +aligned}:
      +width = Broadcast.aligned_length_left(Shape.pad(lp, left), Shape.pad(rp, right), output, aligned)
      %padding_of(List.length(&2, Nat, output), lp, List.length(&2, Nat, left), Equal.trans(Nat, Nat.add(lp, List.length(&2, Nat, left)), List.length(&2, Nat, Shape.pad(lp, left)), List.length(&2, Nat, output), Broadcast.pad_length(lp, left), width)) : {List.length(&2, Nat, Shape.pad(_, left)) == List.length(&2, Nat, output) : Nat}
      width

Uses (11):
  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=Base/base.bend&name=Nat.sub
  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=pad_length
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=Broadcast
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/core.bend&name=pad
  https://jend.leeeet.dev/definition.txt?path=bendtorch-core@0.1.0.0/src/shape/projection_proofs.bend&name=padding_of