Theorems · Theorem · commutative algebra
Ideal.isoBaseOfIsPrincipal.congr_simp
∀ {R : Type u_1} [inst : CommRing R] [inst_1 : IsDomain R] {I : Ideal R} [hprinc : Submodule.IsPrincipal I]
(hI : I ≠ ⊥), Ideal.isoBaseOfIsPrincipal hI = Ideal.isoBaseOfIsPrincipal hI- Defined in
- Mathlib.RingTheory.Ideal.IsPrincipal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- Idealstatement and proof · cited by 4,748
- Bot.botstatement and proof · cited by 4,720
- LinearEquivstatement · cited by 3,317
- IsDomainstatement and proof · cited by 2,196
- Submodule.IsPrincipalstatement and proof · cited by 129
- Ideal.isoBaseOfIsPrincipalstatement and proof · cited by 4
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