ProofCells.alln_append: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_cells.bend as ProofCells
Lines 335-341 of minebender-game@1.0.0.0/proof_cells.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_cells.bend&start_line=335&end_line=341

import Base

law alln_append:
  for +xs: List<&2, Nat>
  for +ys: List<&2, Nat>
  for +n: Nat
  for +a: {alln(xs, n) == True{} : Bool}
  for b: {alln(ys, n) == True{} : Bool}
  {alln(List.append(&2, Nat, xs, ys), n) == True{} : Bool}

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  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
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=and_true_l
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=and_true_r
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=alln