Theorems · Theorem · number theory
NumberField.ComplexEmbedding.IsConj.symm
∀ {K : Type u_1} [inst : Field K] {k : Type u_2} [inst_1 : Field k] [inst_2 : Algebra k K] {φ : K →+* ℂ} {σ : Gal(K/k)},
NumberField.ComplexEmbedding.IsConj φ σ → NumberField.ComplexEmbedding.IsConj φ σ.symm- Cited by
- 1 results in Mathlib
- Foundations
- Depth 163 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
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- AlgEquivstatement and proof · cited by 1,681
- Star.starproof · cited by 1,082
- AlgEquiv.symmstatement and proof · cited by 615
- RingHom.extproof · cited by 331
- AlgEquiv.apply_symm_applyproof · cited by 67
- RingHomCompTriple.comp_applyproof · cited by 42
- NumberField.ComplexEmbedding.IsConjstatement and proof · cited by 24
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.ComplexEmbedding.isConj_symmproof · cited by 1