ProofAssist.assist_stuck_: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_assist.bend as ProofAssist
Lines 272-283 of minebender-game@1.0.0.0/proof_assist.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_assist.bend&start_line=272&end_line=283

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 assist_stuck_:
  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 stuck: L.Stuck(G.knowledge(g))
  for +k: Nat
  Exists(T.Pos, p => {L.mine(layout, p) == False{} : Bool} &
    ({L.hidden(G.knowledge(g), p) == True{} : Bool} & {G.step(g, T.Assist{k}) == G.open(g, p) : G.Game}))

Uses (21):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Exists
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  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=Stuck
  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=mine
  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=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/game.bend&name=step
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_assist.bend&name=assist_stuck.k
  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/types.bend&name=Action
  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