Theorems · Theorem · linear algebra
Matrix.detp_one_of_isEmpty
∀ {n : Type u_1} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommSemiring R] (A : Matrix n n R)
[IsEmpty n], Matrix.detp 1 A = 1- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- Matrixstatement and proof · cited by 4,303
- Finset.univproof · cited by 3,473
- Unitsstatement · cited by 2,804
- Finset.prodproof · cited by 2,356
- Equiv.Permproof · cited by 1,375
- IsEmptystatement and proof · cited by 759
- Finset.univ_eq_emptyproof · cited by 51
- Matrix.detpstatement · cited by 37
- Equiv.Perm.ofSignproof · cited by 21
Cited by2
Results whose statement or proof uses this declaration.
- Matrix.Nonsingular.of_linearIndependent_colproof · cited by 3
- Matrix.Nonsingular.of_isEmptyproof · cited by 0