def internal_replicate_append_nil
import bend-mathlib@0.8.1.0/list.bend as Listimport Base
1355def internal_replicate_append_nil(-A: Data, n: Nat, -x: A) -> {List.append(&2, A, List.replicate(A, n, x), Nil{}) == List.replicate(A, n, x) : List<&2, A>}:
1356 match n:
1357 case 0n:
1358 {==}
1359 case 1n+p:
1360 %internal_replicate_append_nil(A, p, x) : {x <> List.append(&2, A, List.replicate(A, p, x), Nil{}) == x <> _ : List<&2, A>}
1361 {==}