Theorems · Theorem · commutative algebra
NonUnitalSubsemiring.sumSq_toAddSubmonoid
∀ {T : Type u_2} [inst : NonUnitalCommSemiring T], (NonUnitalSubsemiring.sumSq T).toAddSubmonoid = AddSubmonoid.sumSq T- Defined in
- Mathlib.Algebra.Ring.SumsOfSquares
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 70 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- NonUnitalCommSemiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.ofPredproof · cited by 6,101
- AddSubmonoidstatement · cited by 1,178
- AddSubmonoid.closureproof · cited by 224
- IsSquareproof · cited by 132
- NonUnitalSubsemiring.toAddSubmonoidstatement · cited by 56
- NonUnitalCommSemiringstatement and proof · cited by 29
- NonUnitalSubsemiring.sumSqstatement · cited by 6
- AddSubmonoid.sumSqstatement · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- NonUnitalSubsemiring.mem_sumSqproof · cited by 0