ProofLists.count_false_zero: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_lists.bend as ProofLists
Lines 536-546 of minebender-game@1.0.0.0/proof_lists.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_lists.bend&start_line=536&end_line=546

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

# A grid with no unrevealed cell has every cell of the board revealed.
law count_false_zero:
  for +w: Nat
  for +h: Nat
  for +g: T.Grid(Bool)
  for +x: Nat
  for +y: Nat
  for +sh: {B.shaped(Bool, w, h, g) == True{} : Bool}
  for +on: {B.on_board(w, h, T.Pos{x, y}) == True{} : Bool}
  for z: {B.count_false(g) == 0n : Nat}
  {B.at(Bool, False{}, g, T.Pos{x, y}) == True{} : Bool}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=at
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=count_false
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=on_board
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=shaped
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=count_false_zero.go
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Grid
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos