Theorems · Theorem · functional analysis
StarSubalgebra.inclusion.congr_simp
∀ {R : Type u_2} {A : Type u_3} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : Semiring A]
[inst_3 : StarRing A] [inst_4 : Algebra R A] [inst_5 : StarModule R A] {S₁ S₂ : StarSubalgebra R A} (h : S₁ ≤ S₂),
StarSubalgebra.inclusion h = StarSubalgebra.inclusion h- Defined in
- Mathlib.Topology.Algebra.StarSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 32 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.
- 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
- StarModulestatement and proof · cited by 570
- StarAlgHomstatement · cited by 215
- StarSubalgebrastatement and proof · cited by 194
- StarSubalgebra.inclusionstatement and proof · cited by 9
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.