Theorems · Theorem · field theory
RingHom.map_fieldRange
∀ {K : Type u} {L : Type v} {M : Type w} [inst : DivisionRing K] [inst_1 : DivisionRing L] [inst_2 : DivisionRing M]
(g : L →+* M) (f : K →+* L), Subfield.map g f.fieldRange = (g.comp f).fieldRange- Defined in
- Mathlib.Algebra.Field.Subfield.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
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
- Top.topproof · cited by 9,680
- DivisionRingstatement and proof · cited by 1,062
- RingHom.compstatement and proof · cited by 899
- Subfieldstatement · cited by 303
- RingHom.fieldRangestatement · cited by 40
- Subfield.mapstatement and proof · cited by 30
- RingHom.fieldRange_eq_mapproof · cited by 6
- Subfield.map_mapproof · cited by 1
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