Theorems · Theorem · logic and foundations
finsum_one
∀ {α : Type u_1} {s : Set α}, ∑ᶠ (i : α) (_ : i ∈ s), 1 = s.ncard- Defined in
- Mathlib.Data.Set.Card.Arithmetic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- AddCommMonoidproof · cited by 12,281
- mul_oneproof · cited by 3,885
- Finset.cardproof · cited by 2,327
- Set.Finiteproof · cited by 1,814
- Set.Finite.toFinsetproof · cited by 351
- Set.ncardstatement · cited by 344
- finsumstatement and proof · cited by 286
- Set.Infiniteproof · cited by 263
- Finset.sum_constproof · cited by 254
- Set.inter_univproof · cited by 198
- Set.ncard_eq_toFinset_cardproof · cited by 21
Cited by1
Results whose statement or proof uses this declaration.
- Set.Finite.ncard_biUnionproof · cited by 2