Theorems · Theorem · commutative algebra
Ring.choose_zero_succ
∀ (R : Type u_2) [inst : NonAssocRing R] [inst_1 : Pow R ℕ] [NatPowAssoc R] [inst_3 : BinomialRing R] (n : ℕ), Ring.choose 0 (n + 1) = 0
- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 113 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NonAssocRingstatement and proof · cited by 483
- zero_subproof · cited by 335
- Nat.cast_succproof · cited by 99
- neg_add_cancel_rightproof · cited by 75
- neg_addproof · cited by 69
- NatPowAssocstatement and proof · cited by 53
- BinomialRingstatement and proof · cited by 46
- Ring.choosestatement · cited by 43
- Ring.multichooseproof · cited by 25
- Ring.multichoose_succ_neg_natCastproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Ring.choose_zero_posproof · cited by 1