Theorems · Theorem · commutative algebra
IdealFilter.isTorsionQuot_self
∀ {A : Type u_1} [inst : Ring A] (F : IdealFilter A) (I : Ideal A), F.IsTorsionQuot I I- Defined in
- Mathlib.RingTheory.IdealFilter.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Ring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- SetLike.coeproof · cited by 8,199
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- le_topproof · cited by 411
- IdealFilterstatement and proof · cited by 16
- IdealFilter.IsTorsionQuotstatement · cited by 9
- Order.PFilter.nonemptyproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- IdealFilter.isGabriel_iffproof · cited by 0
- IdealFilter.isPFilter_gabrielCompositionproof · cited by 0