Theorems · Theorem · number theory
NumberField.InfinitePlace.IsRamified.ne_conjugate
∀ {k : Type u_1} [inst : Field k] {K : Type u_2} [inst_1 : Field K] [inst_2 : Algebra k K]
{w₁ w₂ : NumberField.InfinitePlace K},
NumberField.InfinitePlace.IsRamified k w₂ → w₁.embedding ≠ NumberField.ComplexEmbedding.conjugate w₂.embedding- Cited by
- 1 results in Mathlib
- Foundations
- Depth 177 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Complexstatement and proof · cited by 5,565
- Algebra.algebraMapproof · cited by 4,706
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.IsRealproof · cited by 301
- NumberField.InfinitePlace.embeddingstatement and proof · cited by 78
- NumberField.InfinitePlace.mkproof · cited by 56
- NumberField.InfinitePlace.comapproof · cited by 55
- NumberField.ComplexEmbedding.conjugatestatement and proof · cited by 40
- NumberField.InfinitePlace.mk_embeddingproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- NumberField.InfinitePlace.bijOn_sumElim_conjugateproof · cited by 1