Theorems · Theorem · Lie groups
RestrictedProduct.isEmbedding_coe_of_principal
∀ {ι : Type u_1} {R : ι → Type u_2} {A : (i : ι) → Set (R i)} [inst : (i : ι) → TopologicalSpace (R i)] {S : Set ι},
Topology.IsEmbedding DFunLike.coe- Cited by
- 5 results in Mathlib
- Foundations
- Depth 73 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.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Filter.principalstatement · cited by 740
- Topology.IsEmbeddingstatement · cited by 294
- DFunLike.coe_injectiveproof · cited by 161
- RestrictedProductstatement · cited by 117
- RestrictedProduct.topologicalSpace_eq_of_principalproof · cited by 5
Cited by5
Results whose statement or proof uses this declaration.
- RestrictedProduct.continuous_rng_of_principalproof · cited by 2
- RestrictedProduct.isEmbedding_coe_of_topproof · cited by 2
- RestrictedProduct.weaklyLocallyCompactSpace_of_principalproof · cited by 1
- RestrictedProduct.isEmbedding_coe_of_botproof · cited by 1
- RestrictedProduct.isEmbedding_inclusion_principalproof · cited by 1