Theorems · Theorem · commutative algebra
Ring.multichoose_two
∀ {R : Type u_2} [inst : NonAssocSemiring R] [inst_1 : Pow R ℕ] [NatPowAssoc R] [inst_3 : BinomialRing R] (k : ℕ),
Ring.multichoose 2 k = ↑k + 1- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 117 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- zero_addproof · cited by 2,366
- Nat.cast_zeroproof · cited by 1,870
- add_commproof · cited by 1,535
- NonAssocSemiringstatement and proof · cited by 805
- Nat.cast_succproof · cited by 99
- one_add_one_eq_twoproof · cited by 65
- NatPowAssocstatement and proof · cited by 53
- BinomialRingstatement and proof · cited by 46
- Ring.multichoosestatement and proof · cited by 25
- Ring.multichoose_succ_succproof · cited by 2
- Ring.multichoose_zero_rightproof · cited by 2
- Ring.multichoose_oneproof · cited by 1
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