Theorems · Theorem · number theory
NumberField.ComplexEmbedding.IsConj.ext
∀ {K : Type u_1} [inst : Field K] {k : Type u_2} [inst_1 : Field k] [inst_2 : Algebra k K] {φ : K →+* ℂ}
{σ₁ σ₂ : Gal(K/k)}, NumberField.ComplexEmbedding.IsConj φ σ₁ → NumberField.ComplexEmbedding.IsConj φ σ₂ → σ₁ = σ₂- Cited by
- 1 results in Mathlib
- Foundations
- Depth 108 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- RingHom.injectiveproof · cited by 187
- AlgEquiv.extproof · cited by 60
- NumberField.ComplexEmbedding.IsConjstatement and proof · cited by 24
- NumberField.ComplexEmbedding.IsConj.eqproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.ComplexEmbedding.IsConj.ext_iffproof · cited by 3