Theorems · Theorem · commutative algebra
isLocalHom_of_le_jacobson_bot
∀ {R : Type u_1} [inst : CommRing R], ∀ I ≤ ⊥.jacobson, IsLocalHom (Ideal.Quotient.mk I)- Defined in
- Mathlib.RingTheory.Henselian
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- RingHomstatement · cited by 10,189
- Idealstatement and proof · cited by 4,748
- Bot.botstatement and proof · cited by 4,720
- mul_oneproof · cited by 3,885
- Unitsproof · cited by 2,804
- HasQuotient.Quotientstatement and proof · cited by 2,301
- Units.valproof · cited by 1,966
- IsUnitproof · cited by 1,602
- Ideal.Quotient.mkstatement and proof · cited by 610
- sub_add_cancelproof · cited by 344
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