BroadcastProofs.pad_length: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend as BroadcastProofs
Lines 140-146 of bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/shape/broadcast_proofs.bend&start_line=140&end_line=146

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

def pad_length(+count: Nat, +dims: List<&2, Nat>) -> {Nat.add(count, List.length(&2, Nat, dims)) == List.length(&2, Nat, Shape.pad(count, dims)) : Nat}:
  match count:
    case 0n:
      {==}
    case 1n+rest:
      %pad_length(rest, dims) : {1n+Nat.add(rest, List.length(&2, Nat, dims)) == 1n+_ : Nat}
      {==}

Uses (5):
  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/core.bend&name=pad