Theorems · Theorem · commutative algebra
Ring.multichoose_zero_right
∀ {R : Type u_1} [inst : AddCommMonoid R] [inst_1 : Pow R ℕ] [inst_2 : BinomialRing R] [inst_3 : MulOneClass R]
[NatPowAssoc R] (r : R), Ring.multichoose r 0 = 1- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 107 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- AddCommMonoidstatement and proof · cited by 12,281
- MulOneClassstatement and proof · cited by 1,018
- NatPowAssocstatement and proof · cited by 53
- BinomialRingstatement and proof · cited by 46
- Ring.multichoosestatement · cited by 25
- npow_zeroproof · cited by 14
- Ring.multichoose_zero_right'proof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Ring.multichoose_oneproof · cited by 1
- Ring.multichoose_twoproof · cited by 0