LAWS.gen_opening: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/LAWS.bend as LAWS
Lines 577-588 of minebender-game@1.0.0.0/LAWS.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/LAWS.bend&start_line=577&end_line=588

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

# LAW: "When there's room, the first click opens an area: no mine on it or
# next to it." (As in Windows Vista and later.)
law gen_opening:
  for w: Nat
  for h: Nat
  for n: Nat
  for first: T.Pos
  for rs: List<&2, U32>
  for room: {Nat.is_le(Nat.add(n, 9n), Nat.mul(w, h)) == True{} : Bool}
  for q: T.Pos
  for near: {within_one(first, q) == True{} : Bool}
  {mine(G.place_mines(w, h, n, first, rs), q) == False{} : Bool}

Uses (12):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_le
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.mul
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=U32
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=mine
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=within_one
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=place_mines
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_gen.bend&name=gen_opening_
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos