Theorems · Theorem · linear algebra
Matrix.detp_one_diagonal
∀ {n : Type u_1} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommSemiring R] (d : n → R),
Matrix.detp 1 (Matrix.diagonal d) = ∏ i, d i- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Finset.univstatement and proof · cited by 3,473
- Unitsstatement · cited by 2,804
- Finset.prodstatement and proof · cited by 2,356
- Equiv.Permproof · cited by 1,375
- Finset.mem_univproof · cited by 361
- Matrix.diagonalstatement and proof · cited by 314
- Matrix.diagonal_apply_eqproof · cited by 64
- Finset.prod_eq_zeroproof · cited by 44
- Matrix.detpstatement · cited by 37
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.detp_one_oneproof · cited by 2