ProofLists.count_false_zero.go: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_lists.bend as ProofLists
Lines 548-560 of minebender-game@1.0.0.0/proof_lists.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_lists.bend&start_line=548&end_line=560

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/proof_base.bend as P

def count_false_zero.go(+w: Nat, +h: Nat, +g: T.Grid(Bool), +x: Nat, +y: Nat,
  +sh: {B.shaped(Bool, w, h, g) == True{} : Bool}, +on: {B.on_board(w, h, T.Pos{x, y}) == True{} : Bool},
  z: {B.count_false(g) == 0n : Nat}, +b: Bool, e: {B.at(Bool, False{}, g, T.Pos{x, y}) == b : Bool}) ->
  {B.at(Bool, False{}, g, T.Pos{x, y}) == True{} : Bool}:
  match b:
    case True{}:
      e
    case False{}:
      Empty.absurd({B.at(Bool, False{}, g, T.Pos{x, y}) == True{} : Bool},
        P.succ_ne_zero(B.count_false(B.set_at(Bool, g, T.Pos{x, y}, True{})),
          Equal.trans(Nat, 1n+B.count_false(B.set_at(Bool, g, T.Pos{x, y}, True{})), B.count_false(g), 0n,
            Equal.sym(Nat, B.count_false(g), 1n+B.count_false(B.set_at(Bool, g, T.Pos{x, y}, True{})),
              count_false_set(w, h, g, x, y, sh, on, e)), z)))

Uses (14):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Empty.absurd
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.sym
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Equal.trans
  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=count_false
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=on_board
  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/proof_base.bend&name=succ_ne_zero
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_lists.bend&name=count_false_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