Theorems · Theorem · field theory
IsRealClosed.isSquare_neg_of_not_isSquare
∀ {R : Type u} [inst : Field R] [IsRealClosed R] {x : R}, ¬IsSquare x → IsSquare (-x)- Defined in
- Mathlib.FieldTheory.IsRealClosed.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 46 from the axioms · uses propext, Quot.sound
- Assumes
- FieldIsRealClosed
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Fieldstatement and proof · cited by 7,404
- IsSquarestatement and proof · cited by 132
- IsRealClosedstatement and proof · cited by 13
- IsRealClosed.isSquare_or_isSquare_negproof · cited by 4
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.