ProofInv.closed_flood: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_inv.bend as ProofInv
Lines 151-164 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=151&end_line=164

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

# A flood from a closed grid leaves a closed grid.
law closed_flood:
  for +n: Nat
  for +work: List<&2, G.Work>
  for +hd: Bool
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +shown: T.Grid(Bool)
  for +sh: {B.shaped(Bool, w, h, shown) == True{} : Bool}
  for +cl: {closed(w, h, layout, shown) == True{} : Bool}
  for +cnt: {n == B.count_false(shown) : Nat}
  for +he: {G.head_hidden(w, h, shown, work) == hd : Bool}
  {closed(w, h, layout, G.flood(n, work, hd, w, h, layout, shown)) == True{} : Bool}

Uses (13):
  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/board.bend&name=cells
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=count_false
  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=Work
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=flood
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=head_hidden
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=cells_on
  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=closed_flood.cells
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Grid