Theorems · Theorem · field theory
Subfield.map_map
∀ {K : Type u} {L : Type v} {M : Type w} [inst : DivisionRing K] [inst_1 : DivisionRing L] [inst_2 : DivisionRing M]
(s : Subfield K) (g : L →+* M) (f : K →+* L), Subfield.map g (Subfield.map f s) = Subfield.map (g.comp f) s- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 54 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- RingHomstatement and proof · cited by 10,189
- DivisionRingstatement and proof · cited by 1,062
- RingHom.compstatement · cited by 899
- Subfieldstatement and proof · cited by 303
- Subsemigroup.carrierproof · cited by 160
- Submonoid.toSubsemigroupproof · cited by 159
- Subsemiring.toSubmonoidproof · cited by 153
- Set.image_imageproof · cited by 140
- Subring.toSubsemiringproof · cited by 71
- SetLike.ext'proof · cited by 60
- Subfield.mapstatement · cited by 30
Cited by1
Results whose statement or proof uses this declaration.
- RingHom.map_fieldRangeproof · cited by 0