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Theorems · Theorem · number theory

NumberField.InfinitePlace.ne_of_isReal_isComplex

∀ {K : Type u_1} [inst : Field K] {w w' : NumberField.InfinitePlace K}, w.IsReal → w'.IsComplex → w ≠ w'
Defined in
Mathlib.NumberTheory.NumberField.InfinitePlace.Basic
Cited by
1 results in Mathlib
Foundations
Depth 172 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Field
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

NumberField.mixedEmbedding.convexBodyLT'_mem · cited by 1mixedEmbedding.convexBody…Field · cited by 7404FieldNumberField.InfinitePlace · cited by 604NumberField.InfinitePlaceNumberField.InfinitePlace.IsReal · cited by 301InfinitePlace.IsRealNumberField.InfinitePlace.IsComplex · cited by 272InfinitePlace.IsComplexNumberField.InfinitePlace.not_isReal_iff_isComplex · cited by 25InfinitePlace.not_isReal_…InfinitePlace.ne_of_isReal_is…CITED BYCITES

Cites5

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Cited by1

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