Theorems · Definition · linear algebra
Matrix.adjp
{n : Type u_1} → {R : Type u_3} → [Fintype n] → [DecidableEq n] → [CommSemiring R] → ℤˣ → Matrix n n R → Matrix n n RThe adjugate matrix, but only the terms of a given sign.
- Cited by
- 16 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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
- Compl.complproof · cited by 2,925
- Unitsstatement and proof · cited by 2,804
- Finset.prodproof · cited by 2,356
- Equiv.Permproof · cited by 1,375
- Finset.filterproof · cited by 949
- Matrix.ofproof · cited by 336
- Equiv.Perm.ofSignproof · cited by 21
Cited by16
Results whose statement or proof uses this declaration.
- Matrix.mul_adjp_apply_eqstatement · cited by 4
- Matrix.adjp_some_nonestatement · cited by 2
- Matrix.adjp_transposestatement · cited by 2
- Matrix.Nonsingular.linearIndependent_colproof · cited by 2
- Matrix.mul_adjp_apply_nestatement and proof · cited by 2
- Matrix.adjp_mul_apply_eqstatement and proof · cited by 1
- Matrix.adjp_mul_apply_nestatement and proof · cited by 1
- Matrix.adjp_none_nonestatement · cited by 1
- Matrix.detp_option_expand_row_noneproof · cited by 1
- Matrix.detp_smul_add_adjpstatement and proof · cited by 1
- Matrix.mul_adjp_add_detpstatement and proof · cited by 1
- Matrix.adjp_applystatement · cited by 0