ProofLaws.flood_complete_: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_laws.bend as ProofLaws
Lines 958-971 of minebender-game@1.0.0.0/proof_laws.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_laws.bend&start_line=958&end_line=971

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

law flood_complete_:
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for shape: {L.shaped(Bool, w, h, layout) == True{} : Bool}
  for +g: G.Game
  for r: L.Reachable(w, h, layout, g)
  for +playing: {G.status(g) == T.Playing{} : T.Status}
  for +p: T.Pos
  for +on: {L.on_board(w, h, p) == True{} : Bool}
  for +q: T.Pos
  for +path: List<&2, T.Pos>
  for +wk: {L.zero_walk(path, w, h, layout, p, q) == True{} : Bool}
  {L.revealed(G.knowledge(G.open(g, p)), q) == True{} : Bool}

Uses (18):
  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_inv.bend&name=inv_reach
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=canon
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=flood_complete.k
  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