Theorems · Theorem · ring theory
StarMemClass.star_coe_eq
∀ {S : Type u_1} {α : Type u_2} [inst : InvolutiveStar α] [inst_1 : SetLike S α] [StarMemClass S α] (s : S),
star ↑s = ↑s- Defined in
- Mathlib.Algebra.Star.Pointwise
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 9 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- SetLike.coestatement · cited by 8,199
- Set.extproof · cited by 2,266
- SetLikestatement and proof · cited by 1,084
- Star.starstatement · cited by 1,082
- InvolutiveStarstatement and proof · cited by 52
- StarMemClassstatement and proof · cited by 21
- star_mem_iffproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- NonUnitalStarAlgebra.adjoin_le_centralizer_centralizerproof · cited by 2
- VonNeumannAlgebra.coe_commutantproof · cited by 2
- StarAlgebra.adjoin_le_centralizer_centralizerproof · cited by 2
- NonUnitalStarSubalgebra.coe_centralizer_centralizerproof · cited by 1
- StarSubalgebra.coe_centralizer_centralizerproof · cited by 1