ProofLists.count_false_set: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_lists.bend as ProofLists
Lines 512-522 of minebender-game@1.0.0.0/proof_lists.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_lists.bend&start_line=512&end_line=522

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

# Revealing an unrevealed cell of the board uses up one count.
law count_false_set:
  for +w: Nat
  for +h: Nat
  for +g: T.Grid(Bool)
  for +x: Nat
  for +y: Nat
  for +sh: {B.shaped(Bool, w, h, g) == True{} : Bool}
  for +on: {B.on_board(w, h, T.Pos{x, y}) == True{} : Bool}
  for hid: {B.at(Bool, False{}, g, T.Pos{x, y}) == False{} : Bool}
  {B.count_false(g) == 1n+B.count_false(B.set_at(Bool, g, T.Pos{x, y}, True{})) : Nat}

Uses (23):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.get
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.set
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Maybe
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_lt
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=at
  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=on_board
  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/proof_base.bend&name=and_true_l
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=and_true_r
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=count_false_set.go
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=get_in
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=row_false_set
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=row_in_get
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=row_in_len
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=row_of
  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