Theorems · Theorem · number theory
CyclotomicRing.adjoin_algebra_injective
∀ (n : ℕ) (A : Type u) (K : Type w) [inst : CommRing A] [inst_1 : Field K] [inst_2 : Algebra A K], Function.Injective ⇑(algebraMap (CyclotomicRing n A K) (CyclotomicField n K))
- Defined in
- Mathlib.NumberTheory.Cyclotomic.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 225 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement · cited by 4,706
- Subtype.val_injectiveproof · cited by 232
- CyclotomicFieldstatement · cited by 14
- CyclotomicRingstatement · cited by 6
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