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Theorems · Theorem · linear algebra

Matrix.fromBlocks_submatrix_sum_swap_sum_swap

∀ {l : Type u_14} {m : Type u_15} {n : Type u_16} {o : Type u_17} {α : Type u_18} (A : Matrix n l α) (B : Matrix n m α)
  (C : Matrix o l α) (D : Matrix o m α),
  (Matrix.fromBlocks A B C D).submatrix Sum.swap Sum.swap = Matrix.fromBlocks D C B A
Defined in
Mathlib.Data.Matrix.Block
Cited by
2 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext, Quot.sound
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Around this declaration

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Matrix.IsHermitian.fromBlocks₂₂ · cited by 0IsHermitian.fromBlocks₂₂Matrix.PosDef.fromBlocks₂₂ · cited by 0PosDef.fromBlocks₂₂Matrix · cited by 4303MatrixMatrix.submatrix · cited by 183Matrix.submatrixMatrix.fromBlocks · cited by 108Matrix.fromBlocksMatrix.submatrix_id_id · cited by 22Matrix.submatrix_id_idMatrix.fromBlocks_submatrix_sum_swap_left · cited by 2Matrix.fromBlocks_submatr…Matrix.fromBlocks_submatrix_sum_swap_right · cited by 2Matrix.fromBlocks_submatr…Matrix.fromBlocks_submatrix_s…CITED BYCITES

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