proposition: Lemma min_of_le {a b : nat} (le_a_b : a ≤ b) : min a b = a.
proof: Proof. apply eq_of_le_le. - apply min_le_l. - apply min_le_iff. split; try assumption. apply isreflnatleh. Qed.
imports: UniMath.Foundations.All UniMath.MoreFoundations.All UniMath.Combinatorics.Maybe UniMath.Combinatorics.StandardFiniteSets UniMath.Algebra.Domains_and_Fields UniMath.Algebra.RigsAndRings