Theorems · Theorem · commutative algebra
Ideal.Pure.of_isIdempotentElem
∀ {R : Type u_1} [inst : CommRing R] {I : Ideal R}, I.FG → IsIdempotentElem I → I.Pure- Defined in
- Mathlib.RingTheory.Ideal.Pure
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Cites20
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
- Idealstatement and proof · cited by 4,748
- HasQuotient.Quotientproof · cited by 2,301
- Submodule.spanproof · cited by 1,504
- LinearEquiv.symmproof · cited by 1,461
- Ideal.spanproof · cited by 948
- LinearMap.idproof · cited by 625
- Module.Flatproof · cited by 279
- IsIdempotentElemstatement and proof · cited by 217
- add_sub_cancelproof · cited by 195
- AlgEquiv.toLinearEquivproof · cited by 117
- Ideal.FGstatement and proof · cited by 99
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