Theorems · Theorem · number theory
Rat.int_algebraMap_surjective
∀ (R : Type u_1) [inst : CommRing R] [inst_1 : Algebra R ℚ] [IsIntegralClosure R ℤ ℚ] [IsFractionRing R ℚ], Function.Surjective ⇑(algebraMap ℤ R)
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 136 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites11
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
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement · cited by 10,189
- Algebra.algebraMapstatement and proof · cited by 4,706
- IsFractionRingstatement and proof · cited by 738
- IsIntegralClosurestatement and proof · cited by 146
- IsFractionRing.injectiveproof · cited by 70
- IsIntegral.algebraMapproof · cited by 15
- IsIntegrallyClosed.isIntegral_iffproof · cited by 13
- IsIntegralClosure.isIntegralproof · cited by 8
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