Theorems · Theorem · general topology
PairReduction.card_finset_logSizeBallSeq_le
∀ {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).finset.card ≤ J.card - i- Cited by
- 2 results in Mathlib
- Foundations
- Depth 215 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites15
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
- Finset.cardstatement and proof · cited by 2,327
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Finset.Nonemptystatement and proof · cited by 1,001
- le_transproof · cited by 985
- Iff.notproof · cited by 489
- tsub_zeroproof · cited by 123
- Finset.card_le_cardproof · cited by 118
- not_ne_iffproof · cited by 30
- PairReduction.logSizeBallSeqstatement and proof · cited by 26
- PairReduction.logSizeBallStruct.finsetstatement and proof · cited by 22
Cited by2
Results whose statement or proof uses this declaration.
- PairReduction.iSup_edist_pairSetproof · cited by 1
- PairReduction.card_finset_logSizeBallSeq_card_eq_zeroproof · cited by 0