Theorems · Theorem · number theory

NumberField.InfinitePlace.Completion.ringEquivRealOfIsReal.congr_simp

∀ {K : Type u_1} [inst : Field K] {v : NumberField.InfinitePlace K} (hv : v.IsReal),
  NumberField.InfinitePlace.Completion.ringEquivRealOfIsReal hv =
    NumberField.InfinitePlace.Completion.ringEquivRealOfIsReal hv

Defined in: Mathlib.NumberTheory.NumberField.Completion.Ramification
Cited by: 0 results in Mathlib
Foundations: Depth 190 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Field

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Realstatement · cited by 25,697
Fieldstatement and proof · cited by 7,404
RingEquivstatement · cited by 1,147
NumberField.InfinitePlacestatement and proof · cited by 604
NumberField.InfinitePlace.IsRealstatement and proof · cited by 301
NumberField.InfinitePlace.Completionstatement · cited by 69
NumberField.InfinitePlace.Completion.ringEquivRealOfIsRealstatement and proof · cited by 4

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