Theorems · Theorem · commutative algebra
IsFractionRing.injective_comp_algebraMap
∀ {A : Type u_4} [inst : CommRing A] {K : Type u_5} [inst_1 : Field K] {L : Type u_7} [inst_2 : Field L]
[inst_3 : Algebra A K] [IsFractionRing A K], Function.Injective fun f => f.comp (algebraMap A K)- Cited by
- 0 results in Mathlib
- Foundations
- Depth 49 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.
- CommRingstatement and proof · cited by 17,173
- Algebrastatement and proof · cited by 11,388
- RingHomstatement and proof · cited by 10,189
- Fieldstatement and proof · cited by 7,404
- Algebra.algebraMapstatement and proof · cited by 4,706
- RingHom.compstatement and proof · cited by 899
- IsFractionRingstatement and proof · cited by 738
- RingHom.congr_funproof · cited by 29
- IsFractionRing.ringHom_extproof · cited by 2
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