Theorems · Theorem · complex analysis
Function.locallyFinsuppWithin.toClosedBall_eval_within
∀ {E : Type u_1} [inst : NormedAddCommGroup E] {r : ℝ} {z : E} (f : Function.locallyFinsupp E ℤ),
z ∈ Metric.closedBall 0 |r| → ((Function.locallyFinsuppWithin.toClosedBall r) f) z = f z- Cited by
- 3 results in Mathlib
- Foundations
- Depth 106 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NormedAddCommGroup
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
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
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- Set.univstatement · cited by 3,945
- AddMonoidHomstatement · cited by 3,230
- absstatement and proof · cited by 1,814
- Metric.closedBallstatement and proof · cited by 704
- dist_zero_rightproof · cited by 172
- Function.locallyFinsuppWithinstatement · cited by 127
- Function.locallyFinsuppstatement and proof · cited by 43
- Function.locallyFinsuppWithin.toClosedBallstatement · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Function.locallyFinsuppWithin.logCounting_single_eq_log_sub_constproof · cited by 4
- Function.locallyFinsuppWithin.logCounting_nonnegproof · cited by 3
- Function.locallyFinsuppWithin.logCounting_monoproof · cited by 2