Theorems · Theorem · commutative algebra
NonUnitalSubsemiring.closure_isSquare
∀ {T : Type u_2} [inst : NonUnitalCommSemiring T],
NonUnitalSubsemiring.closure {x | IsSquare x} = NonUnitalSubsemiring.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.ofPredstatement and proof · cited by 6,101
- NonUnitalSubsemiringstatement · cited by 201
- IsSquarestatement and proof · cited by 132
- NonUnitalSubsemiring.closurestatement and proof · cited by 31
- NonUnitalCommSemiringstatement and proof · cited by 29
- NonUnitalSubsemiring.sumSqstatement · cited by 6
- Subsemigroup.squareproof · cited by 4
- Subsemigroup.nonUnitalSubsemiringClosure_eq_closureproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Subsemiring.closure_isSquareproof · cited by 0