Theorems · Theorem · linear algebra
Matrix.coe_det_isEmpty
∀ {n : Type u_2} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type v} [inst_2 : CommRing R] [IsEmpty n],
Matrix.det = Function.const (Matrix n n R) 1- Cited by
- 5 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- IsEmptystatement and proof · cited by 759
- Matrix.detstatement · cited by 665
- Matrix.det_isEmptyproof · cited by 9
Cited by5
Results whose statement or proof uses this declaration.
- Matrix.charpoly_isEmptyproof · cited by 3
- Matrix.BlockTriangular.detproof · cited by 3
- Matrix.coeff_charpolyRev_eq_neg_traceproof · cited by 1
- Matrix.det_ne_zero_of_sum_col_posproof · cited by 1
- Matrix.det_map'proof · cited by 0