Theorems · Theorem · linear algebra
Matrix.toBlock_mul_eq_mul
∀ {R : Type u_10} [inst : CommRing R] {m : Type u_14} {n : Type u_15} {k : Type u_16} [inst_1 : Fintype n]
(p : m → Prop) (q : k → Prop) (A : Matrix m n R) (B : Matrix n k R),
(A * B).toBlock p q = A.toBlock p ⊤ * B.toBlock ⊤ q- Defined in
- Mathlib.Data.Matrix.Block
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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- CommRingstatement and proof · cited by 17,173
- Top.topstatement and proof · cited by 9,680
- Fintypestatement and proof · cited by 7,736
- Finset.sumproof · cited by 5,195
- Matrixstatement and proof · cited by 4,303
- Finset.univproof · cited by 3,473
- Matrix.extproof · cited by 540
- Matrix.toBlockstatement · cited by 13
- Finset.sum_subtypeproof · cited by 11
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