Theorems · Theorem · linear algebra
Matrix.reindex_apply
∀ {l : Type u_1} {m : Type u_2} {n : Type u_3} {o : Type u_4} {α : Type v} (eₘ : m ≃ l) (eₙ : n ≃ o) (M : Matrix m n α),
(Matrix.reindex eₘ eₙ) M = M.submatrix ⇑eₘ.symm ⇑eₙ.symm- Defined in
- Mathlib.LinearAlgebra.Matrix.Defs
- Cited by
- 8 results in Mathlib
- Foundations
- Depth 18 from the axioms · uses propext, 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.
- DFunLike.coestatement · cited by 62,936
- Equivstatement and proof · cited by 8,337
- Matrixstatement and proof · cited by 4,303
- Equiv.symmstatement · cited by 3,681
- Matrix.submatrixstatement · cited by 183
- Matrix.reindexstatement · cited by 102
Cited by8
Results whose statement or proof uses this declaration.
- Matrix.mul_eq_one_comm_of_equivproof · cited by 4
- Algebra.traceMatrix_eq_embeddingsMatrixReindex_mul_transproof · cited by 2
- NumberField.Units.finrank_mul_regOfFamily_eq_detproof · cited by 2
- Matrix.IsHermitian.reindexproof · cited by 1
- NumberField.sign_discrproof · cited by 1
- Matrix.IsSymm.reindexproof · cited by 1
- NumberField.IsCMField.regOfFamily_realFunSystemproof · cited by 1
- LieAlgebra.Basis.cartanMatrix_base_eqproof · cited by 0