Mathlib Map

Theorems · Theorem · functional analysis

RCLike.is_real_TFAE

∀ {K : Type u_1} [inst : RCLike K] (z : K),
  [(starRingEnd K) z = z, ∃ r, ↑r = z, ↑(RCLike.re z) = z, RCLike.im z = 0, IsSelfAdjoint z].TFAE

There are several equivalent ways to say that a number z is in fact a real number.

Defined in
Mathlib.Analysis.RCLike.Basic
Cited by
5 results in Mathlib
Foundations
Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
RCLike

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Cites25

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Cited by5

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