Mathlib Map

Theorems · Inductive type · ring theory

TrivialStar

(R : Type u) → [Star R] → Prop

Typeclass for a trivial star operation. This is mostly meant for ℝ.

Defined in
Mathlib.Algebra.Star.Basic
Cited by
66 results in Mathlib
Foundations
Depth 1 from the axioms · uses no axioms
Assumes
Star
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

conj_trivial · cited by 27conj_trivialTrivialStar.star_trivial · cited by 26TrivialStar.star_trivialstarL' · cited by 15starL'skewAdjointPart · cited by 15skewAdjointPartselfAdjointPart · cited by 9selfAdjointPartselfAdjoint.submodule · cited by 9selfAdjoint.submoduleskewAdjointPart_apply_coe · cited by 8skewAdjointPart_apply_coeselfAdjointPart_apply_coe · cited by 5selfAdjointPart_apply_coeIsSelfAdjoint.all · cited by 5IsSelfAdjoint.allskewAdjoint.submodule · cited by 4skewAdjoint.submoduleStarModule.decomposeProdAdjoint · cited by 4StarModule.decomposeProdA…HasFDerivAtFilter.star · cited by 4HasFDerivAtFilter.starHasDerivAtFilter.star · cited by 3HasDerivAtFilter.starstarL'_apply · cited by 2starL'_applyMatrix.conjTransposeAlgEquiv · cited by 2Matrix.conjTransposeAlgEq…Star · cited by 496StarTrivialStarCITED BYCITES

Cites1

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

  • Starstatement · cited by 496

Cited by78

Results whose statement or proof uses this declaration.