Theorems · Theorem · number theory
NumberField.InfinitePlace.mk_mem_unramifiedPlacesOver
∀ {K : Type u_4} {L : Type u_5} [inst : Field K] [inst_1 : Field L] [inst_2 : Algebra K L]
{v : NumberField.InfinitePlace K} {φ : L →+* ℂ},
φ ∈ NumberField.ComplexEmbedding.unmixedEmbeddingsOver L v.embedding →
NumberField.InfinitePlace.mk φ ∈ NumberField.InfinitePlace.unramifiedPlacesOver L v- Cited by
- 0 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- 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
- NumberField.InfinitePlacestatement and proof · cited by 604
- NumberField.InfinitePlace.embeddingstatement and proof · cited by 78
- NumberField.InfinitePlace.mkstatement and proof · cited by 56
- NumberField.InfinitePlace.mk_embeddingproof · cited by 25
- NumberField.ComplexEmbedding.LiesOverproof · cited by 19
- NumberField.InfinitePlace.unramifiedPlacesOverstatement · cited by 7
- NumberField.ComplexEmbedding.unmixedEmbeddingsOverstatement and proof · cited by 5
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