Mathlib Map

Theorems · Theorem · ring theory

add_eq_sup

∀ {α : Type u_1} [inst : IdemSemiring α] (a b : α), a + b = a ⊔ b
Defined in
Mathlib.Algebra.Order.Kleene
Cited by
6 results in Mathlib
Foundations
Depth 12 from the axioms · uses no axioms
Assumes
IdemSemiring
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

add_le_iff · cited by 4add_le_iffadd_eq_left_iff_le · cited by 1add_eq_left_iff_leadd_idem · cited by 1add_idemadd_eq_right_iff_le · cited by 1add_eq_right_iff_leDFA.accepts_union · cited by 1DFA.accepts_unionLanguage.IsRegular.add · cited by 0IsRegular.addIdemSemiring · cited by 12IdemSemiringIdemSemiring.add_eq_sup · cited by 1IdemSemiring.add_eq_supadd_eq_supCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by6

Results whose statement or proof uses this declaration.