ProofLists.at_set_ne: law of minebender-game@1.0.0.0
Import: import minebender-game@1.0.0.0/proof_lists.bend as ProofLists
Lines 311-320 of minebender-game@1.0.0.0/proof_lists.bend: https://jend.leeeet.dev/read.txt?path=minebender-game@1.0.0.0/proof_lists.bend&start_line=311&end_line=320

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

# Setting p leaves every other cell as it was.
law at_set_ne:
  for -A: Data
  for +g: T.Grid(A)
  for +p: T.Pos
  for +q: T.Pos
  for +v: A
  for +d: A
  for ne: {B.same(p, q) == False{} : Bool}
  {B.at(A, d, B.set_at(A, g, p, v), q) == B.at(A, d, g, q) : A}

Uses (8):
  https://jend.leeeet.dev/definition.txt?path=Base/base.bend&name=Bool
  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=at
  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/proof_lists.bend&name=at_set_ne.go
  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