Theorems · Definition · linear algebra
Matrix.TransvectionStruct.inv
{n : Type u_1} → {R : Type u₂} → [CommRing R] → Matrix.TransvectionStruct n R → Matrix.TransvectionStruct n RThe inverse of a TransvectionStruct, designed so that t.inv.toMatrix is the inverse of
t.toMatrix.
- Cited by
- 11 results in Mathlib
- Foundations
- Depth 13 from the axioms · uses propext
- Assumes
- CommRing
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
- Matrix.TransvectionStructstatement and proof · cited by 42
- Matrix.TransvectionStruct.iproof · cited by 7
- Matrix.TransvectionStruct.jproof · cited by 6
- Matrix.TransvectionStruct.cproof · cited by 5
- Matrix.TransvectionStruct.hijproof · cited by 4
Cited by11
Results whose statement or proof uses this declaration.
- Matrix.TransvectionStruct.reverse_inv_prod_mul_prodstatement and proof · cited by 3
- Matrix.Pivot.exists_list_transvec_mul_diagonal_mul_list_transvecproof · cited by 3
- Matrix.TransvectionStruct.inv_cstatement and proof · cited by 2
- Matrix.TransvectionStruct.inv_istatement and proof · cited by 2
- Matrix.TransvectionStruct.inv_jstatement and proof · cited by 2
- Matrix.TransvectionStruct.inv_mulstatement · cited by 2
- Matrix.TransvectionStruct.mul_invstatement · cited by 2
- Matrix.TransvectionStruct.prod_mul_reverse_inv_prodstatement and proof · cited by 2
- Matrix.GeneralLinearGroup.mem_center_iff_val_mem_range_scalarproof · cited by 2
- Matrix.TransvectionStruct.isUnit_prod_comp_inversestatement and proof · cited by 1
- Matrix.exists_rank_normal_formproof · cited by 0