Theorems · Theorem · general topology
PairReduction.card_pairSet_le
∀ {T : Type u_1} [inst : PseudoEMetricSpace T] {a c : ENNReal} {J : Finset T} [inst_1 : DecidableEq T],
1 < a → ↑(PairReduction.pairSet J a c).card ≤ a * ↑J.card- 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.
Cites45
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
- SetLike.coeproof · cited by 8,199
- Finset.sumproof · cited by 5,195
- LE.le.transproof · cited by 3,151
- Finset.cardstatement and proof · cited by 2,327
- mul_commproof · cited by 2,262
- LT.lt.leproof · cited by 2,189
- MulZeroClass.mul_zeroproof · cited by 2,091
- le_reflproof · cited by 2,061
- mul_assocproof · cited by 1,667
- PseudoEMetricSpacestatement and proof · cited by 1,536
Cited by1
Results whose statement or proof uses this declaration.
- EMetric.pair_reductionproof · cited by 0