Theorems · Theorem · general topology
CompactExhaustion.mem_sdiff_shiftr_find
∀ {X : Type u_1} [inst : TopologicalSpace X] (K : CompactExhaustion X) (x : X),
x ∈ K.shiftr (K.find x + 1) \ K.shiftr (K.find x)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- TopologicalSpace
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.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- CompactExhaustionstatement and proof · cited by 25
- CompactExhaustion.findstatement and proof · cited by 6
- CompactExhaustion.shiftrstatement and proof · cited by 4
- CompactExhaustion.find_shiftrproof · cited by 2
- CompactExhaustion.mem_findproof · cited by 2
- CompactExhaustion.mem_iff_find_leproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- refinement_of_locallyCompact_sigmaCompact_of_nhds_basis_setproof · cited by 3
- CompactExhaustion.mem_diff_shiftr_findproof · cited by 0