Theorems · Inductive type · algebraic topology
Bundle.TotalSpace
{B : Type u_1} → Type u_4 → (B → Type u_5) → Type (max u_1 u_5)Bundle.TotalSpace F E is the total space of the bundle. It consists of pairs
(proj : B, snd : E proj).
- Defined in
- Mathlib.Data.Bundle
- Cited by
- 766 results in Mathlib
- Foundations
- Depth 0 from the axioms, rests on 1 definitions · uses no axioms
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by943
Results whose statement or proof uses this declaration.
- FiberBundlestatement · cited by 471
- Bundle.TotalSpace.projstatement and proof · cited by 447
- VectorBundlestatement · cited by 315
- Bundle.TotalSpace.mk'statement · cited by 274
- MemTrivializationAtlasstatement · cited by 108
- ContMDiffVectorBundlestatement · cited by 106
- FiberBundle.trivializationAtstatement and proof · cited by 95
- Bundle.TotalSpace.sndstatement and proof · cited by 76
- Bundle.Trivialization.IsLinearstatement · cited by 70
- TangentBundleproof · cited by 49
- Bundle.Trivialization.coordChangeLstatement and proof · cited by 38
- Bundle.Trivialization.symmstatement and proof · cited by 37
Showing the 200 most cited of 943.