proposition: Lemma lt_iff_plus_1_le x y : x < y ↔ x + 1 ≤ y.
proof: Proof. now rewrite nat_int_lt_plus, nat_int_le_plus. Qed.
imports: Coq.setoid_ring.Ring MathClasses.interfaces.abstract_algebra MathClasses.interfaces.naturals MathClasses.interfaces.orders MathClasses.theory.naturals MathClasses.theory.rings MathClasses.implementations.peano_naturals MathClasses.orders.semirings