Theorems · Theorem · algebraic topology

Bundle.Pretrivialization.target_eq

∀ {B : Type u_1} {F : Type u_2} {Z : Type u_4} [inst : TopologicalSpace B] [inst_1 : TopologicalSpace F] {proj : Z → B}
  (self : Bundle.Pretrivialization F proj), self.target = self.baseSet ×ˢ Set.univ

Defined in: Mathlib.Topology.FiberBundle.Trivialization
Cited by: 4 results in Mathlib
Foundations: Depth 6 from the axioms · uses no axioms
Assumes: TopologicalSpace TopologicalSpace

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Cites8

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
Set.univstatement · cited by 3,945
SProd.sprodstatement · cited by 1,750
PartialEquiv.targetstatement · cited by 650
Bundle.Pretrivializationstatement and proof · cited by 111
Bundle.Pretrivialization.baseSetstatement · cited by 80
Bundle.Pretrivialization.toPartialEquivstatement · cited by 77

Cited by5

Results whose statement or proof uses this declaration.

Bundle.Pretrivialization.mem_targetproof · cited by 8
Bundle.Trivialization.domExtendproof · cited by 4
Bundle.Pretrivialization.symm_trans_source_eqproof · cited by 2
Bundle.Pretrivialization.target_inter_preimage_symm_source_eqproof · cited by 1
Bundle.Pretrivialization.toPartialEquiv_injectiveproof · cited by 0