Theorems · Theorem · combinatorics
Multiset.card_pair
∀ {α : Type u_1} (a b : α), {a, b}.card = 2- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 6 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, 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.cardstatement and proof · cited by 375
- Multiset.card_consproof · cited by 19
- Multiset.card_singletonproof · cited by 17
- Multiset.insert_eq_consproof · cited by 4
Cited by6
Results whose statement or proof uses this declaration.
- IsAddFreimanHom.add_eq_addproof · cited by 3
- IsAddFreimanIso.add_eq_addproof · cited by 3
- IsMulFreimanHom.mul_eq_mulproof · cited by 2
- Polynomial.eq_mul_mul_of_roots_quadratic_eq_pairproof · cited by 2
- IsMulFreimanIso.mul_eq_mulproof · cited by 2
- Polynomial.eq_neg_mul_add_of_roots_quadratic_eq_pairproof · cited by 2