ProofFlood.count_after: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_flood.bend as ProofFlood
Lines 283-292 of minebender-game@1.0.0.0/proof_flood.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_flood.bend&start_line=283&end_line=292

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

law count_after:
  for +w: Nat
  for +h: Nat
  for +shown: T.Grid(Bool)
  for +c: T.Pos
  for +m: Nat
  for +sh: {B.shaped(Bool, w, h, shown) == True{} : Bool}
  for +u: {G.unrevealed(w, h, shown, c) == True{} : Bool}
  for cnt: {1n+m == B.count_false(shown) : Nat}
  {m == B.count_false(B.set_at(Bool, shown, c, True{})) : Nat}

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=Equal.trans
  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=count_false
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=set_at
  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=unrevealed
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=succ_inj
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=unrev_hidden
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=unrev_on
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=count_false_set
  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