Theorems · Theorem · general topology
PairReduction.antitone_logSizeBallSeq_add_one_subset
∀ {T : Type u_1} [inst : PseudoEMetricSpace T] {a c : ENNReal} {J : Finset T} [inst_1 : DecidableEq T]
(hJ : J.Nonempty), Antitone fun i => (PairReduction.logSizeBallSeq J hJ a c i).finset- Cited by
- 2 results in Mathlib
- Foundations
- Depth 212 from the axioms · uses propext, Classical.choice, Quot.sound
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 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
- Antitonestatement · cited by 563
- PairReduction.logSizeBallSeqstatement · cited by 26
- PairReduction.logSizeBallStruct.finsetstatement · cited by 22
- antitone_nat_of_succ_leproof · cited by 21
- PairReduction.finset_logSizeBallSeq_add_one_subsetproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- PairReduction.finset_logSizeBallSeq_subset_logSizeBallSeq_initproof · cited by 4
- PairReduction.disjoint_smallBall_logSizeBallSeqproof · cited by 1