Theorems · Theorem · complex analysis
Function.locallyFinsuppWithin.logCounting_mono
∀ {E : Type u_1} [inst : NormedAddCommGroup E] [inst_1 : ProperSpace E] {D : Function.locallyFinsupp E ℤ},
0 ≤ D → MonotoneOn (Function.locallyFinsuppWithin.logCounting D) (Set.Ioi 0)The logarithmic counting function is monotonous.
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites57
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setproof · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Norm.normproof · cited by 5,413
- Finset.sumproof · cited by 5,195
- Set.univstatement · cited by 3,945
- AddMonoidHomstatement · cited by 3,230
- one_mulproof · cited by 2,841
- MulZeroClass.mul_zeroproof · cited by 2,091
- Nat.cast_zeroproof · cited by 1,870
- absproof · cited by 1,814
Cited by2
Results whose statement or proof uses this declaration.
- ValueDistribution.logCounting_monotoneOnproof · cited by 1
- Function.locallyFinsuppWithin.logCounting_strictMonoproof · cited by 1