Theorems · Definition · number theory
ADEInequality.sumInv
Multiset ℕ+ → ℚ
sumInv pqr for a pqr : Multiset ℕ+ is the sum of the inverses
of the elements of pqr, as rational number.
The intended argument is a multiset {p,q,r} of cardinality 3.
- Defined in
- Mathlib.NumberTheory.ADEInequality
- Cited by
- 9 results in Mathlib
- Foundations
- Depth 74 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Multiset.mapproof · cited by 876
- PNatstatement and proof · cited by 392
- Multiset.sumproof · cited by 388
- PNat.valproof · cited by 226
Cited by9
Results whose statement or proof uses this declaration.
- ADEInequality.sumInv_pqrstatement · cited by 4
- ADEInequality.admissible_of_one_lt_sumInvstatement and proof · cited by 1
- ADEInequality.admissible_of_one_lt_sumInv_auxstatement and proof · cited by 1
- ADEInequality.admissible_of_one_lt_sumInv_aux'statement and proof · cited by 1
- ADEInequality.lt_fourstatement and proof · cited by 1
- ADEInequality.lt_sixstatement and proof · cited by 1
- ADEInequality.lt_threestatement and proof · cited by 1
- ADEInequality.Admissible.one_lt_sumInvstatement and proof · cited by 1
- ADEInequality.classificationstatement · cited by 0