Theorems · Theorem · linear algebra
Matrix.permanent_eq_elem_of_subsingleton
∀ {n : Type u_1} [inst : DecidableEq n] [inst_1 : Fintype n] {R : Type u_2} [inst_2 : CommSemiring R] [Subsingleton n]
(A : Matrix n n R) (k : n), A.permanent = A k k- Defined in
- Mathlib.LinearAlgebra.Matrix.Permanent
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 67 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommSemiringstatement and proof · cited by 10,911
- Fintypestatement and proof · cited by 7,736
- Matrixstatement and proof · cited by 4,303
- Uniqueproof · cited by 400
- Matrix.permanentstatement and proof · cited by 15
- uniqueOfSubsingletonproof · cited by 9
- Matrix.permanent_uniqueproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.permanent_eq_elem_of_card_eq_oneproof · cited by 0