ProofSame.slice_snoc: law of lawful-bytes@0.1.1.0
Import: import lawful-bytes@0.1.1.0/proof_same.bend as ProofSame
Lines 230-237 of lawful-bytes@0.1.1.0/proof_same.bend: https://jend.leeeet.dev/read.txt?path=lawful-bytes@0.1.1.0/proof_same.bend&start_line=230&end_line=237

import Base
import lawful-bytes@0.1.1.0/defs.bend as D

law slice_snoc:
  for +xs: List<&2, U32>
  for +i: Nat
  for +k: Nat
  for +x: U32
  for +acc: List<&2, U32>
  for +h: {List.get(&2, U32, xs, Nat.add(k, i)) == Some{x} : Maybe<&2, U32>}
  {List.append(&2, U32, D.slice(xs, i, 1n+k), acc) == List.append(&2, U32, D.slice(xs, i, k), x <> acc) : List<&2, U32>}

Uses (14):
  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.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.drop
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  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=U32
  https://jend.leeeet.dev/definition.txt?path=lawful-arrays@0.1.0.0/proof_base.bend&name=subst
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/defs.bend&name=slice
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_same.bend&name=get_drop
  https://jend.leeeet.dev/definition.txt?path=lawful-bytes@0.1.1.0/proof_same.bend&name=take_snoc
  https://jend.leeeet.dev/definition.txt?path=lawful-words@0.1.0.0/proof_nat.bend&name=add_comm