Theorems · Theorem · commutative algebra
IdealFilter.IsTorsionQuot.inf
∀ {A : Type u_1} [inst : Ring A] {F : IdealFilter A} {I J K : Ideal A},
F.IsTorsionQuot I K → F.IsTorsionQuot J K → F.IsTorsionQuot (I ⊓ J) K- Defined in
- Mathlib.RingTheory.IdealFilter.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 66 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Ringstatement and proof · cited by 7,463
- Idealstatement and proof · cited by 4,748
- LE.le.transproof · cited by 3,151
- Eq.geproof · cited by 375
- Submodule.colonproof · cited by 80
- inf_le_infproof · cited by 54
- IdealFilterstatement and proof · cited by 16
- IdealFilter.IsTorsionQuotstatement and proof · cited by 9
- Order.PFilter.inf_memproof · cited by 4
- Submodule.inf_colonproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- IdealFilter.isPFilter_gabrielCompositionproof · cited by 0