ProofFlood.at_set_on: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_flood.bend as ProofFlood
Lines 302-309 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=302&end_line=309

import Base
import minebender-game@1.0.0.0/types.bend as T
import minebender-game@1.0.0.0/board.bend as B

law at_set_on:
  for +w: Nat
  for +h: Nat
  for +shown: T.Grid(Bool)
  for +c: T.Pos
  for +sh: {B.shaped(Bool, w, h, shown) == True{} : Bool}
  for on: {B.on_board(w, h, c) == True{} : Bool}
  {B.at(Bool, False{}, B.set_at(Bool, shown, c, True{}), c) == True{} : Bool}

Uses (9):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=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_lists.bend&name=at_set_eq
  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