Theorems · Definition · general topology
ContinuousMap.sigmaMk
{I : Type u_5} → {X : I → Type u_7} → [inst : (i : I) → TopologicalSpace (X i)] → (i : I) → C(X i, (i : I) × X i)Sigma.mk i as a bundled continuous map.
- Defined in
- Mathlib.Topology.ContinuousMap.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 70 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.
Cites2
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
- ContinuousMapstatement · cited by 2,491
Cited by7
Results whose statement or proof uses this declaration.
- ContinuousMap.sigmaEquivproof · cited by 3
- ContinuousMap.sigmaCodHomeomorphproof · cited by 1
- ContinuousMap.sigmaEquiv_symm_applystatement · cited by 1
- ContinuousMap.sigmaMk_applystatement and proof · cited by 1
- ContinuousMap.isEmbedding_sigmaMk_compstatement and proof · cited by 0
- ContinuousMap.exists_lift_sigmastatement and proof · cited by 0
- ContinuousMap.sigmaCodHomeomorph_symm_applystatement · cited by 0