ProofInv.nsm_use: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_inv.bend as ProofInv
Lines 323-333 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=323&end_line=333

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

# Without a revealed mine, a mine of the board is not revealed.
law nsm_use:
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +g: T.Grid(Bool)
  for n: {nsm(w, h, layout, g) == True{} : Bool}
  for +q: T.Pos
  for on: {B.on_board(w, h, q) == True{} : Bool}
  for m: {B.mine(layout, q) == True{} : Bool}
  {B.at(Bool, False{}, g, q) == False{} : Bool}

Uses (16):
  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=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=mine
  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/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=LS
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm_f
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm_use.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