Theorems · Definition · commutative algebra
Subsemiring.sumSq
(T : Type u_2) → [inst : CommSemiring T] → Subsemiring T
In a commutative semiring R, Subsemiring.sumSq R is the subsemiring of sums of squares in R.
- Defined in
- Mathlib.Algebra.Ring.SumsOfSquares
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 72 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommSemiring
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.
- CommSemiringstatement and proof · cited by 10,911
- Subsemiringstatement · cited by 456
- NonUnitalSubsemiringproof · cited by 201
- AddSubmonoid.toAddSubsemigroupproof · cited by 198
- AddSubsemigroup.carrierproof · cited by 198
- NonUnitalSubsemiring.toAddSubmonoidproof · cited by 56
- NonUnitalSubsemiring.sumSqproof · cited by 6
Cited by4
Results whose statement or proof uses this declaration.
- Subsemiring.mem_sumSqstatement · cited by 0
- Subsemiring.sumSq_toNonUnitalSubsemiringstatement · cited by 0
- Subsemiring.coe_sumSqstatement · cited by 0
- Subsemiring.closure_isSquarestatement and proof · cited by 0