Theorems · Theorem · general topology
Subfield.toIntermediateField.congr_simp
∀ {K : Type u_1} {L : Type u_2} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L] (S S_1 : Subfield L)
(e_S : S = S_1) (algebra_map_mem : ∀ (x : K), (algebraMap K L) x ∈ S),
S.toIntermediateField algebra_map_mem = S_1.toIntermediateField ⋯- Defined in
- Mathlib.Topology.Instances.Complex
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 51 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement and proof · cited by 4,706
- IntermediateFieldstatement · cited by 988
- Subfieldstatement and proof · cited by 303
- Subfield.toIntermediateFieldstatement and proof · cited by 5
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