Theorems · Theorem · general topology
PairReduction.point_mem_logSizeBallSeq_init
∀ {T : Type u_1} [inst : PseudoEMetricSpace T] {a c : ENNReal} {J : Finset T} [inst_1 : DecidableEq T] (hJ : J.Nonempty)
(i : ℕ), (PairReduction.logSizeBallSeq J hJ a c i).point ∈ J- Cited by
- 1 results in Mathlib
- Foundations
- Depth 214 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- ENNRealstatement and proof · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Finset.Nonemptystatement and proof · cited by 1,001
- PairReduction.logSizeBallSeqstatement and proof · cited by 26
- PairReduction.logSizeBallStruct.finsetproof · cited by 22
- PairReduction.logSizeBallStruct.pointstatement and proof · cited by 15
- Finset.mem_of_subsetproof · cited by 5
- PairReduction.finset_logSizeBallSeq_subset_logSizeBallSeq_initproof · cited by 4
- PairReduction.point_mem_finset_logSizeBallSeqproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- PairReduction.pairSet_subsetproof · cited by 2