Theorems · Theorem · functional analysis
StarAlgebra.elemental.isClosedEmbedding_coe
∀ (R : Type u_1) {A : Type u_2} [inst : CommSemiring R] [inst_1 : StarRing R] [inst_2 : TopologicalSpace A]
[inst_3 : Semiring A] [inst_4 : StarRing A] [inst_5 : IsSemitopologicalSemiring A] [inst_6 : ContinuousStar A]
[inst_7 : Algebra R A] [inst_8 : StarModule R A] (x : A), Topology.IsClosedEmbedding Subtype.valThe coercion from an elemental algebra to the full algebra as a IsClosedEmbedding.
- Defined in
- Mathlib.Topology.Algebra.StarSubalgebra
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites15
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- TopologicalSpacestatement and proof · cited by 24,529
- 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
- IsClosedproof · cited by 1,639
- StarModulestatement and proof · cited by 570
- ContinuousStarstatement and proof · cited by 543
- Subtype.coe_injectiveproof · cited by 205
- Topology.IsClosedEmbeddingstatement · cited by 195
- StarSubalgebrastatement · cited by 194
- Subtype.range_coe_subtypeproof · cited by 170
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