ProofLaws.open_mine_c: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_laws.bend as ProofLaws
Lines 684-696 of minebender-game@1.0.0.0/proof_laws.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_laws.bend&start_line=684&end_line=696

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
import minebender-game@1.0.0.0/LAWS.bend as L
import minebender-game@1.0.0.0/proof_inv.bend as PI

law open_mine_c:
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +s: T.Grid(Bool)
  for +f: List<&2, T.Pos>
  for +shL: {B.shaped(Bool, w, h, layout) == True{} : Bool}
  for +shS: {B.shaped(Bool, w, h, s) == True{} : Bool}
  for +ns: {PI.nsm(w, h, layout, s) == True{} : Bool}
  for +p: T.Pos
  for +bm: {B.mine(layout, p) == True{} : Bool}
  {G.status(G.open(G.Game{w, h, layout, s, f, T.Playing{}}, p)) == T.Lost{T.Exploded{p}} : T.Status} &
  {L.seen(G.knowledge(G.open(G.Game{w, h, layout, s, f, T.Playing{}}, p)), p) == T.Boom{} : T.Seen}

Uses (30):
  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
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Pair
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Sigma
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/LAWS.bend&name=seen
  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=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/board.bend&name=shaped
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=Game
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=knowledge
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=open
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=open.go
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=seen_at
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=seen_pick
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=status
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=unrevealed
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=at_set_on
  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_use
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=know_seen
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=mine_on
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=unrev_true
  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=Loss
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Pos
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Seen
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Status