Theorems · Theorem · algebraic topology
Bundle.Pretrivialization.coe_fst
∀ {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 : Z}, x ∈ e.source → (↑e x).1 = proj x- Cited by
- 6 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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.sourcestatement and proof · cited by 964
- Bundle.Pretrivializationstatement and proof · cited by 111
- Bundle.Pretrivialization.toPartialEquivstatement and proof · cited by 77
- Bundle.Pretrivialization.toFun'statement · cited by 53
- Bundle.Pretrivialization.proj_toFunproof · cited by 1
Cited by6
Results whose statement or proof uses this declaration.
- Bundle.Pretrivialization.proj_symm_applyproof · cited by 4
- Bundle.Pretrivialization.coe_fst'proof · cited by 3
- Bundle.Pretrivialization.symm_apply_mk_projproof · cited by 1
- Bundle.Pretrivialization.mk_proj_sndproof · cited by 0
- Bundle.Pretrivialization.coe_coe_fstproof · cited by 0
- Bundle.Pretrivialization.eqOnproof · cited by 0