Theorems · Theorem · algebraic topology
Bundle.Pretrivialization.apply_symm_apply
∀ {B : Type u_1} {F : Type u_2} {Z : Type u_4} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
(e : Bundle.Pretrivialization F proj) {x : B × F}, x ∈ e.target → ↑e (↑e.symm x) = x- Cited by
- 2 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses no axioms
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
- PartialEquiv.toFunstatement · cited by 821
- PartialEquiv.targetstatement and proof · cited by 650
- PartialEquiv.symmstatement · cited by 453
- Bundle.Pretrivializationstatement and proof · cited by 111
- Bundle.Pretrivialization.toPartialEquivstatement and proof · cited by 77
- Bundle.Pretrivialization.toFun'statement · cited by 53
- PartialEquiv.right_invproof · cited by 24
Cited by2
Results whose statement or proof uses this declaration.
- Bundle.Pretrivialization.apply_mk_symmproof · cited by 2
- Bundle.Pretrivialization.apply_symm_apply'proof · cited by 1