LAWS.flood_complete: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/LAWS.bend as LAWS
Lines 368-384 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=368&end_line=384

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: "Revealing a cell p reveals every cell reached from p by a path
# through zeros" (so a 0 opens its whole 0-region and the numbers around it;
# for a mine, that is p alone).
law flood_complete:
  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 playing: {G.status(g) == T.Playing{} : T.Status}
  for p: T.Pos
  for on: {on_board(w, h, p) == True{} : Bool}
  for q: T.Pos
  for path: List<&2, T.Pos>
  for walk: {zero_walk(path, w, h, layout, p, q) == True{} : Bool}
  {revealed(G.knowledge(G.open(g, p)), q) == True{} : Bool}

Uses (16):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  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=on_board
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=revealed
  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/LAWS.bend&name=zero_walk
  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=knowledge
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=open
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=status
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=flood_complete_
  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
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Status