ProofSolver.comp_set: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_solver.bend as ProofSolver
Lines 832-844 of minebender-game@1.0.0.0/proof_solver.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_solver.bend&start_line=832&end_line=844

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_cells.bend as PS

law comp_set:
  for +w: Nat
  for +h: Nat
  for +c: T.Pos
  for +part: T.Grid(Maybe<&2, Bool>)
  for +layout: T.Grid(Bool)
  for +bv: Bool
  for +shP: {B.shaped(Maybe<&2, Bool>, w, h, part) == True{} : Bool}
  for +mc: {B.mine(layout, c) == bv : Bool}
  for +ps: List<&2, T.Pos>
  for +ons: {PS.allp(~PS.WH, ~PS.onb, PS.WH{w, h}, ps) == True{} : Bool}
  for +cm: {PS.allp(~CE, ~cmp_f, CE{part, layout}, ps) == True{} : Bool}
  {PS.allp(~CE, ~cmp_f, CE{B.set_at(Maybe<&2, Bool>, part, c, Some{bv}), layout}, ps) == True{} : Bool}

Uses (20):
  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=Maybe
  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=mine
  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/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_solver.bend&name=CE
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_solver.bend&name=cmp_f
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_solver.bend&name=comp_set.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