Theorems · Theorem · general topology
CompactExhaustion.find_shiftr
∀ {X : Type u_1} [inst : TopologicalSpace X] (K : CompactExhaustion X) (x : X), K.shiftr.find x = K.find x + 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 68 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.
Cites7
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
- Set.notMem_emptyproof · cited by 35
- CompactExhaustionstatement and proof · cited by 25
- CompactExhaustion.findstatement · cited by 6
- CompactExhaustion.exists_memproof · cited by 5
- CompactExhaustion.shiftrstatement and proof · cited by 4
- Nat.find_comp_succproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- refinement_of_locallyCompact_sigmaCompact_of_nhds_basis_setproof · cited by 3
- CompactExhaustion.mem_sdiff_shiftr_findproof · cited by 2