Theorems · Theorem · field theory
IntermediateField.toSubfield_map
∀ {K : Type u_1} {L : Type u_2} {L' : Type u_3} [inst : Field K] [inst_1 : Field L] [inst_2 : Field L']
[inst_3 : Algebra K L] [inst_4 : Algebra K L'] (S : IntermediateField K L) (f : L →ₐ[K] L'),
(IntermediateField.map f S).toSubfield = Subfield.map (↑f) S.toSubfield- Cited by
- 0 results in Mathlib
- Foundations
- Depth 61 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.
- Algebrastatement and proof · cited by 11,388
- Fieldstatement and proof · cited by 7,404
- AlgHomstatement and proof · cited by 3,236
- IntermediateFieldstatement and proof · cited by 988
- RingHomClass.toRingHomstatement · cited by 746
- Subfieldstatement · cited by 303
- IntermediateField.mapstatement · cited by 62
- IntermediateField.toSubfieldstatement · cited by 38
- Subfield.mapstatement · cited by 30
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