ProofSolver.sum_eq_cells: def of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_solver.bend as ProofSolver
Lines 323-327 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=323&end_line=327

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_sums.bend as PU

def sum_eq_cells(~A: Data, ~f: A -> Nat, +d: A, +w: Nat, +h: Nat, +g: T.Grid(A), +x: Nat,
  sh: {B.shaped(A, w, h, g) == True{} : Bool}, e: {x == PU.gsum(~A, ~f, g) : Nat}) ->
  {x == PU.csum(~A, ~f, d, g, B.cells(w, h)) : Nat}:
  Equal.trans(Nat, x, PU.gsum(~A, ~f, g), PU.csum(~A, ~f, d, g, B.cells(w, h)), e,
    Equal.sym(Nat, PU.csum(~A, ~f, d, g, B.cells(w, h)), PU.gsum(~A, ~f, g), PU.grid_sum(~A, ~f, d, w, h, g, sh)))

Uses (10):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=cells
  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_sums.bend&name=csum
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=grid_sum
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=gsum
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/types.bend&name=Grid