Theorems · Theorem · commutative algebra
FreeCommRing.isSupported_upwards
∀ {α : Type u} {x : FreeCommRing α} {s t : Set α}, x.IsSupported s → s ⊆ t → x.IsSupported t- Defined in
- Mathlib.RingTheory.FreeCommRing
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 102 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- FreeCommRingstatement and proof · cited by 43
- FreeCommRing.IsSupportedstatement and proof · cited by 12
- Set.monotone_imageproof · cited by 9
- Subring.closure_monoproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- FreeCommRing.exists_finite_supportproof · cited by 1