Theorems · Theorem · commutative algebra
Subsemiring.map_sup
∀ {R : Type u} {S : Type v} [inst : NonAssocSemiring R] [inst_1 : NonAssocSemiring S] (s t : Subsemiring R)
(f : R →+* S), Subsemiring.map f (s ⊔ t) = Subsemiring.map f s ⊔ Subsemiring.map f t- Defined in
- Mathlib.Algebra.Ring.Subsemiring.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHomstatement and proof · cited by 10,189
- NonAssocSemiringstatement and proof · cited by 805
- Subsemiringstatement and proof · cited by 456
- GaloisConnection.l_supproof · cited by 81
- Subsemiring.mapstatement · cited by 29
- Subsemiring.gc_map_comapproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Subsemiring.smul_supproof · cited by 0