Theorems · Theorem · algebraic topology
FiberBundleCore.continuous_proj
∀ {ι : Type u_1} {B : Type u_2} {F : Type u_3} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
(Z : FiberBundleCore ι B F), Continuous Z.projThe projection on the base of a fiber bundle created from core is continuous
- Defined in
- Mathlib.Topology.FiberBundle.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- FiberBundleCorestatement and proof · cited by 35
- FiberBundleCore.TotalSpacestatement · cited by 23
- FiberBundleCore.Fiberproof · cited by 16
- FiberBundleCore.projstatement · cited by 14
- FiberBundle.continuous_projproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- VectorBundleCore.continuous_projproof · cited by 0