ProofInv.inv_open: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_inv.bend as ProofInv
Lines 578-590 of minebender-game@1.0.0.0/proof_inv.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_inv.bend&start_line=578&end_line=590

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

law inv_open:
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +shown: T.Grid(Bool)
  for +flags: List<&2, T.Pos>
  for +status: T.Status
  for +sh: {B.shaped(Bool, w, h, shown) == True{} : Bool}
  for +won: {L.is_won(status) == G.all_safe(w, h, layout, shown) : Bool}
  for +cm: {calm(status, w, h, layout, shown) == True{} : Bool}
  for +cl: {closed(w, h, layout, shown) == True{} : Bool}
  for +p: T.Pos
  Inv(w, h, layout, G.open(G.Game{w, h, layout, shown, flags, status}, p))

Uses (19):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  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=is_won
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=mine
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.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=all_safe
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=is_playing
  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=unrevealed
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=Inv
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=calm
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=closed
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=inv_open.go
  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