Theorems · Theorem · ring theory
AlgEquiv.toRatAlgEquiv_toRingEquiv
∀ {R : Type u_1} {S : Type u_2} [inst : Ring R] [inst_1 : Ring S] [inst_2 : Algebra ℚ R] [inst_3 : Algebra ℚ S]
(f : R ≃ₐ[ℚ] S), f.toRingEquiv.toRatAlgEquiv = f- Defined in
- Mathlib.Algebra.Algebra.Hom.Rat
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Algebrastatement and proof · cited by 11,388
- Ringstatement and proof · cited by 7,463
- AlgEquivstatement and proof · cited by 1,681
- AlgEquiv.toRingEquivstatement · cited by 137
- RingEquiv.toRatAlgEquivstatement · cited by 8
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