Theorems · Theorem · commutative algebra
Multiset.esymm_pair_two
∀ {R : Type u_1} [inst : CommSemiring R] (x y : R), (x ::ₘ {y}).esymm 2 = x * y- Cited by
- 1 results in Mathlib
- Foundations
- Depth 44 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Multisetstatement and proof · cited by 2,627
- Multiset.mapproof · cited by 876
- Multiset.prodproof · cited by 528
- Multiset.sumproof · cited by 388
- Multiset.consstatement and proof · cited by 313
- Multiset.map_congrproof · cited by 232
- Multiset.prod_consproof · cited by 68
- Multiset.prod_singletonproof · cited by 29
- Multiset.sum_singletonproof · cited by 26
- Multiset.esymmstatement · cited by 21
- Multiset.card_singletonproof · cited by 17
Cited by1
Results whose statement or proof uses this declaration.
- Polynomial.eq_mul_mul_of_roots_quadratic_eq_pairproof · cited by 2