Theorems · Theorem · algebraic topology
Bundle.Pretrivialization.symm_trans_source_eq
∀ {B : Type u_1} {F : Type u_2} {Z : Type u_4} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
(e e' : Bundle.Pretrivialization F proj),
(e.symm.trans e'.toPartialEquiv).source = (e.baseSet ∩ e'.baseSet) ×ˢ Set.univ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites18
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Set.preimageproof · cited by 4,946
- Set.univstatement and proof · cited by 3,945
- SProd.sprodstatement and proof · cited by 1,750
- PartialEquiv.sourcestatement and proof · cited by 964
- PartialEquiv.toFunproof · cited by 821
- PartialEquiv.symmstatement and proof · cited by 453
- Set.inter_commproof · cited by 291
- Bundle.Pretrivializationstatement and proof · cited by 111
- PartialEquiv.transstatement · cited by 88
- Bundle.Pretrivialization.baseSetstatement and proof · cited by 80
Cited by2
Results whose statement or proof uses this declaration.
- Bundle.Pretrivialization.symm_trans_target_eqproof · cited by 1
- Bundle.Trivialization.symm_trans_source_eqproof · cited by 0