law add_le_add_iff_right_sym

bend-mathlib@0.8.1.0 · nat.bend:4845

import Base

4845# Adding the same amount on the right does not change the order test: a <= b tests as a + k <= b + k, reversed to rewrite toward the simple side.
4846law add_le_add_iff_right_sym:
4847  for a: Nat
4848  for b: Nat
4849  for k: Nat
4850  {Nat.is_le(Nat.add(a, k), Nat.add(b, k)) == Nat.is_le(a, b) : Bool}