LAWS.assist_too_early: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/LAWS.bend as LAWS
Lines 492-508 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=492&end_line=508

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: "Pressing the assist when some cell is provably safe loses, and shows
# a provably safe cell; the knowledge is unchanged."
law assist_too_early:
  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 q: T.Pos
  for option: ProvablySafe(G.knowledge(g), q)
  for k: Nat
  exs p: T.Pos
  ProvablySafe(G.knowledge(g), p) &
  {G.status(G.step(g, T.Assist{k})) == T.Lost{T.AssistTooEarly{p}} : T.Status} &
  {G.knowledge(G.step(g, T.Assist{k})) == G.knowledge(g) : T.Knowledge}

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=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=ProvablySafe
  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=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=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_too_early_
  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=Knowledge
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Loss
  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