ProofInv.nsm_flood.cells: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_inv.bend as ProofInv
Lines 377-394 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=377&end_line=394

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_cells.bend as PS
import minebender-game@1.0.0.0/proof_flood.bend as PF

def nsm_flood.cells(+n: Nat, +work: List<&2, G.Work>, +hd: Bool, +w: Nat, +h: Nat, +layout: T.Grid(Bool),
  +shown: T.Grid(Bool), +p0: T.Pos, +safe: {L.mine(layout, p0) == False{} : Bool},
  +ok: {PF.works_ok(work, w, h, layout, p0) == True{} : Bool},
  +ns: {nsm(w, h, layout, shown) == True{} : Bool}, ps: List<&2, T.Pos>,
  +ons: {PS.allp(~PS.WH, ~PS.onb, PS.WH{w, h}, ps) == True{} : Bool}) ->
  {PS.allp(~LS, ~nsm_f, LS{layout, G.flood(n, work, hd, w, h, layout, shown)}, ps) == True{} : Bool}:
  match ps:
    case Nil{}:
      {==}
    case +q <> +t:
      +F = G.flood(n, work, hd, w, h, layout, shown)
      %Equal.sym(Bool, nsm_f(LS{layout, F}, q), True{},
        nsm_flood.cell(n, work, hd, w, h, layout, shown, p0, safe, ok, ns, q,
          PS.allp_head(~PS.WH, ~PS.onb, PS.WH{w, h}, q, t, ons),
          Bool.and(B.at(Bool, False{}, F, q), B.mine(layout, q)), {==})) :
        {Bool.and(_, PS.allp(~LS, ~nsm_f, LS{layout, F}, t)) == True{} : Bool}
      nsm_flood.cells(n, work, hd, w, h, layout, shown, p0, safe, ok, ns, t,
        PS.allp_tail(~PS.WH, ~PS.onb, PS.WH{w, h}, q, t, ons))

Uses (22):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool.and
  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=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=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/game.bend&name=Work
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=flood
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=WH
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=allp
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=allp_head
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=allp_tail
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_cells.bend&name=onb
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=works_ok
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=LS
  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_f
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_inv.bend&name=nsm_flood.cell
  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