Theorems · Theorem · commutative algebra
Ring.map_multichoose
∀ {R : Type u_3} {S : Type u_4} {F : Type u_5} [inst : Ring R] [inst_1 : Ring S] [inst_2 : BinomialRing R]
[inst_3 : BinomialRing S] [inst_4 : FunLike F R S] [RingHomClass F R S] (f : F) (a : R) (n : ℕ),
f (Ring.multichoose a n) = Ring.multichoose (f a) n- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites19
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringproof · cited by 13,802
- RingHomproof · cited by 10,189
- Ringstatement and proof · cited by 7,463
- Polynomialproof · cited by 5,681
- FunLikestatement and proof · cited by 2,560
- RingHom.compproof · cited by 899
- RingHomClass.toRingHomproof · cited by 746
- Nat.factorialproof · cited by 616
- Polynomial.eval₂proof · cited by 267
- RingHomClassstatement and proof · cited by 193
- ascPochhammerproof · cited by 80
Cited by1
Results whose statement or proof uses this declaration.
- Ring.map_chooseproof · cited by 1