Theorems · Definition · algebraic topology

Bundle.Pretrivialization.toPartialEquiv

{B : Type u_1} →
  {F : Type u_2} →
    {Z : Type u_4} →
      [inst : TopologicalSpace B] →
        [inst_1 : TopologicalSpace F] → {proj : Z → B} → Bundle.Pretrivialization F proj → PartialEquiv Z (B × F)

Defined in: Mathlib.Topology.FiberBundle.Trivialization
Cited by: 77 results in Mathlib
Foundations: Depth 2 from the axioms · uses no axioms
Assumes: TopologicalSpace TopologicalSpace

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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

TopologicalSpacestatement and proof · cited by 24,529
PartialEquivstatement · cited by 335
Bundle.Pretrivializationstatement and proof · cited by 111

Cited by92

Results whose statement or proof uses this declaration.

Bundle.Pretrivialization.toFun'proof · cited by 53
Bundle.Pretrivialization.symmproof · cited by 26
Bundle.Pretrivialization.mem_targetstatement · cited by 8
Bundle.Pretrivialization.proj_symm_apply'statement · cited by 7
Bundle.Pretrivialization.coe_fststatement and proof · cited by 6
FiberPrebundle.trivializationOfMemPretrivializationAtlasproof · cited by 5
Bundle.Pretrivialization.source_eqstatement · cited by 5
Bundle.Trivialization.codExtend'proof · cited by 4
Bundle.Pretrivialization.codExtend'proof · cited by 4
Bundle.Trivialization.domExtendproof · cited by 4
Bundle.Pretrivialization.domExtendproof · cited by 4
Bundle.Pretrivialization.mem_sourcestatement · cited by 4