ProofSums.csum_shift: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_sums.bend as ProofSums
Lines 146-154 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=146&end_line=154

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 csum_shift:
  for ~A: Data
  for ~f: A -> Nat
  for +d: A
  for +r: List<&2, A>
  for +rt: T.Grid(A)
  for +w: Nat
  for +ys: List<&2, Nat>
  {csum(~A, ~f, d, r <> rt, B.cells.go(w, smap(ys))) == csum(~A, ~f, d, rt, B.cells.go(w, ys)) : Nat}

Uses (14):
  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.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=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/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_row_shift
  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