Theorems · Theorem · linear algebra
Matrix.mul_adjp_apply_eq
∀ {n : Type u_1} {R : Type u_3} [inst : Fintype n] [inst_1 : DecidableEq n] [inst_2 : CommSemiring R] (s : ℤˣ)
(A : Matrix n n R) (i : n), (A * Matrix.adjp s A) i i = Matrix.detp s A- Cited by
- 4 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites22
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.sumproof · cited by 5,195
- Matrixstatement and proof · cited by 4,303
- Finset.univproof · cited by 3,473
- Compl.complproof · cited by 2,925
- Unitsstatement and proof · cited by 2,804
- Finset.prodproof · cited by 2,356
- Finset.sum_congrproof · cited by 2,323
- Equiv.Permproof · cited by 1,375
- Finset.filterproof · cited by 949
Cited by4
Results whose statement or proof uses this declaration.
- Matrix.mul_adjp_apply_neproof · cited by 2
- Matrix.adjp_mul_apply_eqproof · cited by 1
- Matrix.detp_option_expand_row_noneproof · cited by 1
- Matrix.mul_adjp_add_detpproof · cited by 1