ProofInv.all_safe_set_mine: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_inv.bend as ProofInv
Lines 524-531 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=524&end_line=531

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 all_safe_set_mine:
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +shown: T.Grid(Bool)
  for +p: T.Pos
  for +mp: {B.mine(layout, p) == True{} : Bool}
  {G.all_safe(w, h, layout, B.set_at(Bool, shown, p, True{})) == G.all_safe(w, h, layout, shown) : Bool}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=mine
  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/game.bend&name=all_safe
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=all_safe_set_mine.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