Theorems · Theorem · general topology
CompactExhaustion.mem_iff_find_le
∀ {X : Type u_1} [inst : TopologicalSpace X] (K : CompactExhaustion X) {x : X} {n : ℕ}, x ∈ K n ↔ K.find x ≤ n- Cited by
- 1 results in Mathlib
- Foundations
- Depth 64 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 and proof · cited by 62,936
- Setstatement · cited by 53,352
- TopologicalSpacestatement and proof · cited by 24,529
- Nat.find_min'proof · cited by 28
- CompactExhaustionstatement and proof · cited by 25
- CompactExhaustion.subsetproof · cited by 7
- CompactExhaustion.findstatement and proof · cited by 6
- CompactExhaustion.exists_memproof · cited by 5
- CompactExhaustion.mem_findproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- CompactExhaustion.mem_sdiff_shiftr_findproof · cited by 2