ProofFlood.flood_zero: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_flood.bend as ProofFlood
Lines 460-477 of minebender-game@1.0.0.0/proof_flood.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_flood.bend&start_line=460&end_line=477

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

law flood_zero:
  for +n: Nat
  for +work: List<&2, G.Work>
  for +hd: Bool
  for +w: Nat
  for +h: Nat
  for +layout: T.Grid(Bool)
  for +shown: T.Grid(Bool)
  for +sh: {B.shaped(Bool, w, h, shown) == True{} : Bool}
  for +cnt: {n == B.count_false(shown) : Nat}
  for +he: {G.head_hidden(w, h, shown, work) == hd : Bool}
  for +q: T.Pos
  for +before: {B.at(Bool, False{}, shown, q) == False{} : Bool}
  for +after: {B.at(Bool, False{}, G.flood(n, work, hd, w, h, layout, shown), q) == True{} : Bool}
  for +z: {B.zero(w, h, layout, q) == True{} : Bool}
  for +r: T.Pos
  for +rm: {B.contains(B.neighbours(w, h, q), r) == True{} : Bool}
  {B.at(Bool, False{}, G.flood(n, work, hd, w, h, layout, shown), r) == True{} : Bool}

Uses (21):
  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=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=contains
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=count_false
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=neighbours
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=same
  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/board.bend&name=zero
  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/game.bend&name=head_hidden
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/game.bend&name=push
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=both_absurd
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=count_after
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_flood.bend&name=flood_zero.take
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=shaped_set
  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