Theorems · Theorem · Lie groups
RestrictedProduct.continuous_coe
∀ {ι : Type u_1} {R : ι → Type u_2} {A : (i : ι) → Set (R i)} {𝓕 : Filter ι} [inst : (i : ι) → TopologicalSpace (R i)],
Continuous DFunLike.coe- Cited by
- 5 results in Mathlib
- Foundations
- Depth 71 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.
Cites10
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
- Filterstatement and proof · cited by 8,121
- Continuousstatement · cited by 2,592
- Filter.principalproof · cited by 740
- RestrictedProductstatement · cited by 117
- continuous_induced_domproof · cited by 47
- continuous_coinduced_domproof · cited by 13
- continuous_iSup_domproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- RestrictedProduct.topologicalSpace_eq_of_principalproof · cited by 5
- RestrictedProduct.isOpen_forall_imp_mem_of_principalproof · cited by 2
- RestrictedProduct.isEmbedding_inclusion_principalproof · cited by 1
- RestrictedProduct.isEmbedding_inclusion_topproof · cited by 1
- RestrictedProduct.continuous_evalproof · cited by 1