Theorems · Definition · commutative algebra
AddSubmonoid.sumSq
(T : Type u_2) → [inst : AddMonoid T] → [Mul T] → AddSubmonoid T
In an additive monoid with multiplication R, AddSubmonoid.sumSq R is the submonoid of sums of
squares in R.
- Defined in
- Mathlib.Algebra.Ring.SumsOfSquares
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 7 from the axioms · uses propext
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.
- Set.ofPredproof · cited by 6,101
- AddMonoidstatement and proof · cited by 2,864
- AddSubmonoidstatement · cited by 1,178
- IsSumSqproof · cited by 38
- IsSumSq.addproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- NonUnitalSubsemiring.sumSq_toAddSubmonoidstatement · cited by 1
- AddSubmonoid.closure_isSquarestatement and proof · cited by 0
- AddSubmonoid.mem_sumSqstatement · cited by 0
- AddSubmonoid.coe_sumSqstatement and proof · cited by 0