Theorems · Theorem · algebraic topology
Bundle.Trivialization.mk_mem_target
∀ {B : Type u_1} {F : Type u_2} {E : B → Type u_3} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F]
[inst_2 : TopologicalSpace (Bundle.TotalSpace F E)] (e' : Bundle.Trivialization F Bundle.TotalSpace.proj) {b : B}
{y : F}, (b, y) ∈ e'.target ↔ b ∈ e'.baseSet- Cited by
- 0 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
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
- PartialHomeomorph.toPartialEquivstatement · cited by 917
- OpenPartialHomeomorph.toPartialHomeomorphstatement · cited by 851
- Bundle.TotalSpacestatement and proof · cited by 766
- PartialEquiv.targetstatement · cited by 650
- Bundle.TotalSpace.projstatement and proof · cited by 447
- Bundle.Trivializationstatement and proof · cited by 324
- Bundle.Trivialization.baseSetstatement · cited by 268
- Bundle.Trivialization.toOpenPartialHomeomorphstatement · cited by 148
- Bundle.Trivialization.toPretrivializationproof · cited by 42
- Bundle.Pretrivialization.mem_targetproof · cited by 8
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