In Spite Of Meaning

(idiomatic) Despite, irrespective of, notwithstanding.

Example: 1898, Henry James, The Turn of the Screw, Courier Dover Publications (1991), ISBN 0486266842, page 72,
  No evening I had passed at Bly had the portentous quality of this one; in spite of which—and in spite also of the deeper depths of consternation that had opened beneath my feet—there was literally, in the ebbing actual, an extraordinarily sweet sadness.