Theorems · Theorem · commutative algebra
IsLocalization.Away.quotient_of_isIdempotentElem
∀ {R : Type u_1} [inst : CommRing R] {e : R}, IsIdempotentElem e → IsLocalization.Away e (R ⧸ Ideal.span {1 - e})- Cited by
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- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- CommRingstatement and proof · cited by 17,173
- Idealstatement · cited by 4,748
- HasQuotient.Quotientstatement · cited by 2,301
- Ideal.spanstatement · cited by 948
- IsLocalization.Awaystatement · cited by 218
- IsIdempotentElemstatement and proof · cited by 217
- Ideal.mk_kerproof · cited by 59
- Quotient.mk_surjectiveproof · cited by 16
- IsLocalization.away_of_isIdempotentElemproof · cited by 4
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