Theorems · Theorem · linear algebra
Matrix.discr_of_card_eq_two
∀ {R : Type u_1} {n : Type u_2} [inst : CommRing R] [inst_1 : Fintype n] [inst_2 : DecidableEq n] (A : Matrix n n R),
Fintype.card n = 2 → A.discr = A.trace ^ 2 - 4 * A.det- Cited by
- 1 results in Mathlib
- Foundations
- Depth 128 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingFintypeDecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites31
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- mul_oneproof · cited by 3,885
- add_zeroproof · cited by 2,707
- Nontrivialproof · cited by 2,416
- zero_addproof · cited by 2,366
- MulZeroClass.mul_zeroproof · cited by 2,091
- Polynomial.Xproof · cited by 1,639
- Polynomial.Cproof · cited by 1,598
- Fintype.cardstatement and proof · cited by 1,386
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.discr_fin_twoproof · cited by 12