Theorems · Theorem · linear algebra
Matrix.ext
∀ {m : Type u_2} {n : Type u_3} {α : Type v} {M N : Matrix m n α}, (∀ (i : m) (j : n), M i j = N i j) → M = N- Defined in
- Mathlib.LinearAlgebra.Matrix.Defs
- Cited by
- 540 results in Mathlib
- Foundations
- Depth 7 from the axioms, rests on 7 definitions · uses propext, Quot.sound
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Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Matrixstatement and proof · cited by 4,303
- Matrix.ext_iffproof · cited by 18
Cited by540
Results whose statement or proof uses this declaration.
- Matrix.mul_assocproof · cited by 56
- Matrix.mul_oneproof · cited by 45
- Matrix.transpose_transposeproof · cited by 33
- Matrix.conjTranspose_conjTransposeproof · cited by 31
- Matrix.one_mulproof · cited by 30
- Matrix.submatrix_submatrixproof · cited by 24
- Matrix.submatrix_id_idproof · cited by 22
- Matrix.diagonal_transposeproof · cited by 17
- Matrix.zero_mulproof · cited by 16
- Matrix.diagonal_mapproof · cited by 15
- Matrix.map_oneproof · cited by 15
- Matrix.transpose_mulproof · cited by 14
Showing the 200 most cited of 540.