def near_pt.xz

minebender-game@1.0.0.0 · proof_gen.bend:938

import Base
import minebender-game@1.0.0.0/proof_base.bend as P

938def near_pt.xz(+k: Nat) ->
939  {Nat.is_le(one(nr(1n+k, 0n)), Nat.add(Nat.add(one(Nat.is_eq(0n, 1n+k)), one(Nat.is_eq(0n, 2n+k))), one(Nat.is_eq(1n, 1n+k))))
940    == True{} : Bool}:
941  match k:
942    case 0n:
943      {==}
944    case 1n+i:
945      P.le_zero_l(Nat.add(Nat.add(one(Nat.is_eq(0n, 2n+i)), one(Nat.is_eq(0n, 3n+i))), one(Nat.is_eq(1n, 2n+i))))