Theorems · Theorem · commutative algebra
FreeCommRing.isSupported_mul
∀ {α : Type u} {x y : FreeCommRing α} {s : Set α}, x.IsSupported s → y.IsSupported s → (x * y).IsSupported s- 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.
Cites7
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
- Set.imageproof · cited by 5,609
- Subring.closureproof · cited by 78
- FreeCommRingstatement and proof · cited by 43
- FreeCommRing.ofproof · cited by 34
- FreeCommRing.IsSupportedstatement and proof · cited by 12
- Subring.mul_memproof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- FreeCommRing.exists_finite_supportproof · cited by 1