ProofSums.gsum_cells_go: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_sums.bend as ProofSums
Lines 222-229 of minebender-game@1.0.0.0/proof_sums.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_sums.bend&start_line=222&end_line=229

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 gsum_cells_go:
  for ~A: Data
  for ~f: A -> Nat
  for +d: A
  for +w: Nat
  for +g: T.Grid(A)
  for +wide: {B.rows_wide(A, w, g) == True{} : Bool}
  {csum(~A, ~f, d, g, B.cells.go(w, List.range(List.length(&2, List<&2, A>, g)))) == gsum(~A, ~f, g) : Nat}

Uses (27):
  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=List
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.append
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.length
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=List.range
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.add
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Nat.is_eq
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=cells.go
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=row_cells
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/board.bend&name=rows_wide
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=and_true_l
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=and_true_r
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_base.bend&name=eq_sound
  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=csum_append
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=csum_row0
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=csum_shift
  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/proof_sums.bend&name=range_cons
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=rsum
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=rsum_at
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=rsum_at_full
  https://jend.leeeet.dev/definition.txt?path=minebender-game@1.0.0.0/proof_sums.bend&name=smap
  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