Mathlib Map

Theorems · Theorem · ring theory

isSelfAdjoint_iff

∀ {R : Type u_1} [inst : Star R] {x : R}, IsSelfAdjoint x ↔ star x = x
Defined in
Mathlib.Algebra.Star.SelfAdjoint
Cited by
6 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Assumes
Star
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Around this declaration

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

NumberField.ComplexEmbedding.isReal_iff · cited by 7ComplexEmbedding.isReal_i…IsSelfAdjoint.commute_iff · cited by 5IsSelfAdjoint.commute_iffRCLike.is_real_TFAE · cited by 5RCLike.is_real_TFAEisSelfAdjoint_iff_isStarNormal_and_quasispectrumRestricts · cited by 2isSelfAdjoint_iff_isStarN…IsSelfAdjoint.invOf_iff · cited by 1IsSelfAdjoint.invOf_iffIsSelfAdjoint.ringInverse · cited by 1IsSelfAdjoint.ringInverseStar.star · cited by 1082Star.starIsSelfAdjoint · cited by 545IsSelfAdjointStar · cited by 496StarisSelfAdjoint_iffCITED BYCITES

Cites3

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

Cited by6

Results whose statement or proof uses this declaration.