ProofInv.closed_use: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_inv.bend as ProofInv
Lines 45-58 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=45&end_line=58

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

# In a closed grid, a revealed zero's neighbours are revealed.
law closed_use:
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +g: T.Grid(Bool)
  for c: {closed(w, h, layout, g) == True{} : Bool}
  for +q: T.Pos
  for on: {B.on_board(w, h, q) == True{} : Bool}
  for gq: {B.at(Bool, False{}, g, q) == True{} : Bool}
  for z: {B.zero(w, h, layout, q) == True{} : Bool}
  for +r: T.Pos
  for rm: {B.contains(B.neighbours(w, h, q), r) == True{} : Bool}
  {B.at(Bool, False{}, g, r) == True{} : Bool}

Uses (21):
  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=Bool.not
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.or
  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=at
  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=contains
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=neighbours
  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=zero
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=allp
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=allp_member
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=cells_member
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=CL
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=cl_f
  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_use.go
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=shown_in
  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