LAWS.monotone: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/LAWS.bend as LAWS
Lines 315-328 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=315&end_line=328

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: "A revealed cell stays revealed, showing the same thing."
# With bridge, this makes every action that changes the knowledge reveal at least
# one more cell, so a game has at most w*h such actions.
law monotone:
  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 a: T.Action
  for q: T.Pos
  for vis: {revealed(G.knowledge(g), q) == True{} : Bool}
  {seen(G.knowledge(G.step(g, a)), q) == seen(G.knowledge(g), q) : T.Seen}

Uses (14):
  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=revealed
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=seen
  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=step
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=monotone_
  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=Seen