LAWS.flags_hidden: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/LAWS.bend as LAWS
Lines 452-463 of minebender-game@1.0.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/LAWS.bend&start_line=452&end_line=463

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

# LAW: "Only hidden cells carry flags": revealing a flagged cell clears its
# flag, and no cell off the board is ever flagged.
law flags_hidden:
  for w: Nat
  for h: Nat
  for layout: T.Grid(Bool)
  for shape: {shaped(Bool, w, h, layout) == True{} : Bool}
  for g: G.Game
  for r: Reachable(w, h, layout, g)
  for q: T.Pos
  for flag: {G.flagged(g, q) == True{} : Bool}
  {hidden(G.knowledge(g), q) == True{} : Bool}

Uses (11):
  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/LAWS.bend&name=Reachable
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=hidden
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=shaped
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=Game
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=flagged
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=knowledge
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=flags_hidden_
  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