Theorems · Theorem · commutative algebra
Ring.map_choose
∀ {R : Type u_2} {S : Type u_3} {F : Type u_4} [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.choose a n) = Ring.choose (f a) n- Defined in
- Mathlib.RingTheory.Binomial
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 111 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Ringstatement and proof · cited by 7,463
- FunLikestatement and proof · cited by 2,560
- map_addproof · cited by 964
- map_oneproof · cited by 861
- map_subproof · cited by 565
- RingHomClassstatement and proof · cited by 193
- map_natCastproof · cited by 134
- BinomialRingstatement and proof · cited by 46
- Ring.choosestatement · cited by 43
- Ring.multichooseproof · cited by 25
- Ring.map_multichooseproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Complex.ofReal_chooseproof · cited by 0