Theorems · Theorem · algebraic topology
VectorBundleCore.toFiberBundleCore_baseSet
∀ {R : Type u_1} {B : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField R] [inst_1 : NormedAddCommGroup F]
[inst_2 : NormedSpace R F] [inst_3 : TopologicalSpace B] {ι : Type u_5} (Z : VectorBundleCore R B F ι),
Z.toFiberBundleCore.baseSet = Z.baseSet- Defined in
- Mathlib.Topology.VectorBundle.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 181 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- VectorBundleCorestatement and proof · cited by 38
- VectorBundleCore.toFiberBundleCorestatement and proof · cited by 16
- VectorBundleCore.baseSetstatement · cited by 16
- FiberBundleCore.baseSetstatement and proof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- tangentBundle_model_space_chartAtproof · cited by 4