Theorems · Theorem · algebraic topology
FiberPrebundle.continuous_totalSpaceMk
∀ {B : Type u_2} {F : Type u_3} {E : B → Type u_5} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
[inst_2 : (x : B) → TopologicalSpace (E x)] (a : FiberPrebundle F E) (b : B), Continuous (Bundle.TotalSpace.mk b)- Defined in
- Mathlib.Topology.FiberBundle.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Continuousstatement · cited by 2,592
- Bundle.TotalSpacestatement and proof · cited by 766
- Eq.leproof · cited by 605
- Bundle.TotalSpace.projproof · cited by 447
- Bundle.Trivializationproof · cited by 324
- Bundle.Trivialization.toOpenPartialHomeomorphproof · cited by 148
- Topology.IsInducing.eq_inducedproof · cited by 31
- continuous_iff_le_inducedproof · cited by 16
- FiberPrebundlestatement and proof · cited by 16
- FiberPrebundle.totalSpaceTopologystatement and proof · cited by 7
- FiberPrebundle.trivializationOfMemPretrivializationAtlasproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- VectorPrebundle.continuous_totalSpaceMkproof · cited by 0
- FiberPrebundle.inducing_totalSpaceMk_of_inducing_compproof · cited by 0