lemma minus_le: ∀m,n. m - n ≤ m.
/2/ qed.
-
lemma plus_plus_minus_m_m: ∀e1,e2,d. e1 ≤ e2 → d + e1 + (e2 - e1) = d + e2.
/2/ qed.
lemma arith4: ∀h,d,e1,e2. d ≤ e1 + e2 → d + h ≤ e1 + h + e2.
/2/ qed.
+
+lemma arith5: ∀i,h,d. i + h ≤ d → d - i - h + (i + h) = d.
+/2/ qed.