Theorems · Theorem · Lie groups
RestrictedProduct.isEmbedding_inclusion_principal
∀ {ι : Type u_1} {R : ι → Type u_2} {A : (i : ι) → Set (R i)} {𝓕 : Filter ι} [inst : (i : ι) → TopologicalSpace (R i)]
{S : Set ι} (hS : 𝓕 ≤ Filter.principal S), Topology.IsEmbedding (RestrictedProduct.inclusion R A hS)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filterstatement and proof · cited by 8,121
- Filter.principalstatement and proof · cited by 740
- Topology.IsEmbeddingstatement · cited by 294
- RestrictedProductstatement · cited by 117
- RestrictedProduct.inclusionstatement · cited by 21
- Topology.IsEmbedding.of_compproof · cited by 16
- RestrictedProduct.continuous_inclusionproof · cited by 8
- RestrictedProduct.isEmbedding_coe_of_principalproof · cited by 5
- RestrictedProduct.continuous_coeproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- RestrictedProduct.isOpenEmbedding_inclusion_principalproof · cited by 1