law count_false_set

minebender-game@1.0.0.0 · proof_lists.bend:512

import Base
import minebender-game@1.0.0.0/types.bend as T
import minebender-game@1.0.0.0/board.bend as B

512# Revealing an unrevealed cell of the board uses up one count.
513law count_false_set:
514  for +w: Nat
515  for +h: Nat
516  for +g: T.Grid(Bool)
517  for +x: Nat
518  for +y: Nat
519  for +sh: {B.shaped(Bool, w, h, g) == True{} : Bool}
520  for +on: {B.on_board(w, h, T.Pos{x, y}) == True{} : Bool}
521  for hid: {B.at(Bool, False{}, g, T.Pos{x, y}) == False{} : Bool}
522  {B.count_false(g) == 1n+B.count_false(B.set_at(Bool, g, T.Pos{x, y}, True{})) : Nat}