Theorems · Theorem · field theory
Subfield.map_inf
∀ {K : Type u} {L : Type v} [inst : DivisionRing K] [inst_1 : DivisionRing L] (s t : Subfield K) (f : K →+* L),
Subfield.map f (s ⊓ t) = Subfield.map f s ⊓ Subfield.map f t- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DivisionRingDivisionRing
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- DivisionRingstatement and proof · cited by 1,062
- SetLike.coe_injectiveproof · cited by 374
- Subfieldstatement and proof · cited by 303
- RingHom.injectiveproof · cited by 187
- Set.image_interproof · cited by 34
- Subfield.mapstatement and proof · cited by 30
Cited by2
Results whose statement or proof uses this declaration.
- Subfield.lift_relrank_comapproof · cited by 4
- Subfield.lift_relrank_map_mapproof · cited by 4