Theorems · Theorem · commutative algebra
Submodule.colon_top
Deprecated since 2026-01-11Use Submodule.colon_univ instead.
∀ {R : Type u_1} [inst : Semiring R] {I : Ideal R} [I.IsTwoSided], Submodule.colon I Set.univ = IAlias of Submodule.colon_univ.
- Defined in
- Mathlib.RingTheory.Ideal.Colon
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 66 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- SemiringIdeal.IsTwoSided
Around this declaration
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement · cited by 13,802
- Idealstatement · cited by 4,748
- Set.univstatement · cited by 3,945
- Ideal.IsTwoSidedstatement · cited by 179
- Submodule.colonstatement · cited by 80
- Submodule.colon_univproof · cited by 7
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