ReduceFiberProof.append_nil: def of bendtorch-core@0.1.0.0
Import: import bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend as ReduceFiberProof
Lines 262-267 of bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend: https://jend.leeeet.dev/read.txt?path=bendtorch-core@0.1.0.0/src/autograd/reduce_fiber_proof.bend&start_line=262&end_line=267

import Base

def append_nil(+xs: List<&2, Nat>) -> {List.append(&2, Nat, xs, Nil{}) == xs : List<&2, Nat>}:
  match xs:
    case Nil{}:
      {==}
    case +x <> +rest:
      Equal.cong(List<&2, Nat>, List<&2, Nat>, tail => x <> tail, List.append(&2, Nat, rest, Nil{}), rest, append_nil(rest))

Uses (4):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.cong
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat