ProofLaws.open_safe.k: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_laws.bend as ProofLaws
Lines 906-920 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=906&end_line=920

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_copy.bend as PC

def open_safe.k(+w: Nat, +h: Nat, +layout: T.Grid(Bool), +g: G.Game,
  +playing: {G.status(g) == T.Playing{} : T.Status}, +p: T.Pos, safe: {L.mine(layout, p) == False{} : Bool},
  c: Canon(w, h, layout, g)) ->
  {L.is_lost(G.status(G.open(g, p))) == False{} : Bool}:
  match c:
    case (eg, facts):
      +s = shown_of(g)
      +f = flags_of(g)
      %Equal.sym(G.Game, g, G.Game{w, h, layout, s, f, G.status(g)}, eg) :
        {L.is_lost(G.status(G.open(_, p))) == False{} : Bool}
      %Equal.sym(T.Status, G.status(g), T.Playing{}, playing) :
        {L.is_lost(G.status(G.open(G.Game{w, h, layout, s, f, _}, p))) == False{} : Bool}
      open_safe_c(w, h, layout, s, f, p,
        %Equal.sym(Bool, B.mine(layout, p), L.mine(layout, p), PC.mine_eq(layout, p)) :
          {_ == False{} : Bool}; safe)

Uses (18):
  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=Nat
  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=is_lost
  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/board.bend&name=mine
  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=open
  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/proof_copy.bend&name=mine_eq
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=Canon
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=flags_of
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=open_safe_c
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_laws.bend&name=shown_of
  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
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Status