Theorems · Theorem · functional analysis
StarSubalgebra.ofClass.congr_simp
∀ {S : Type u_6} {R : Type u_7} {A : Type u_8} [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
[inst_3 : StarRing R] [inst_4 : StarRing A] [inst_5 : StarModule R A] [inst_6 : SetLike S A]
[inst_7 : SubsemiringClass S A] [inst_8 : SMulMemClass S R A] [inst_9 : StarMemClass S A] (s s_1 : S),
s = s_1 → StarSubalgebra.ofClass s = StarSubalgebra.ofClass s_1- Cited by
- 0 results in Mathlib
- Foundations
- Depth 22 from the axioms · uses no axioms
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Algebrastatement and proof · cited by 11,388
- CommSemiringstatement and proof · cited by 10,911
- StarRingstatement and proof · cited by 1,686
- SetLikestatement and proof · cited by 1,084
- StarModulestatement and proof · cited by 570
- StarSubalgebrastatement · cited by 194
- SMulMemClassstatement and proof · cited by 77
- SubsemiringClassstatement and proof · cited by 30
- StarMemClassstatement and proof · cited by 21
- StarSubalgebra.ofClassstatement and proof · cited by 2
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