def gen_inv.k

minebender-game@1.0.0.0 · proof_gen.bend:1192

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

1192def gen_inv.k(+w: Nat, +h: Nat, +n: Nat, +fx: Nat, +fy: Nat,
1193  +on: {L.on_board(w, h, T.Pos{fx, fy}) == True{} : Bool}, fits: {Nat.is_lt(n, Nat.mul(w, h)) == True{} : Bool},
1194  +wide: Bool, ew: {Nat.is_le(Nat.add(n, 9n), Nat.mul(w, h)) == wide : Bool}) ->
1195  {Nat.is_le(n, G.gen.left(G.Zone{T.Pos{fx, fy}, wide}, B.cells(w, h))) == True{} : Bool}:
1196  match wide:
1197    case False{}:
1198      gen_inv_one(w, h, n, fx, fy, on, fits)
1199    case True{}:
1200      gen_inv_wide(w, h, n, fx, fy, ew)