Theorems · Definition · general topology
PairReduction.logSizeBallStruct.smallBall
{T : Type u_1} → [PseudoEMetricSpace T] → PairReduction.logSizeBallStruct T → ENNReal → Finset TIf (V, t, r) is a logSizeBallStruct then logSizeBallStruct.smallBall
is {x ∈ V | d(t, x) ≤ (r - 1)c}.
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 147 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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.
- Finsetstatement · cited by 13,712
- ENNRealstatement and proof · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Finset.filterproof · cited by 949
- EDist.edistproof · cited by 735
- PairReduction.logSizeBallStruct.finsetproof · cited by 22
- PairReduction.logSizeBallStruct.pointproof · cited by 15
- PairReduction.logSizeBallStruct.radiusproof · cited by 12
- PairReduction.logSizeBallStructstatement and proof · cited by 4
Cited by4
Results whose statement or proof uses this declaration.
- PairReduction.logSizeRadius_le_card_smallBallstatement and proof · cited by 1
- PairReduction.card_pairSet_leproof · cited by 1
- PairReduction.disjoint_smallBall_logSizeBallSeqstatement · cited by 1
- PairReduction.finset_logSizeBallSeq_add_onestatement · cited by 0