Theorems · Definition · linear algebra
Matrix.fromBlocks
{l : Type u_1} →
{m : Type u_2} →
{n : Type u_3} →
{o : Type u_4} →
{α : Type u_12} → Matrix n l α → Matrix n m α → Matrix o l α → Matrix o m α → Matrix (n ⊕ o) (l ⊕ m) αWe can form a single large matrix by flattening smaller 'block' matrices of compatible dimensions.
- Defined in
- Mathlib.Data.Matrix.Block
- Cited by
- 108 results in Mathlib
- Foundations
- Depth 14 from the axioms, rests on 64 definitions · uses Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Matrixstatement and proof · cited by 4,303
- Matrix.ofproof · cited by 336
Cited by130
Results whose statement or proof uses this declaration.
- RootPairing.GeckConstruction.hproof · cited by 24
- RootPairing.GeckConstruction.eproof · cited by 20
- Matrix.Jproof · cited by 20
- RootPairing.GeckConstruction.fproof · cited by 18
- RootPairing.GeckConstruction.ωproof · cited by 12
- Matrix.fromBlocks_multiplystatement · cited by 12
- Matrix.det_fromBlocks_zero₂₁statement and proof · cited by 10
- Matrix.fromBlocks_transposestatement · cited by 9
- RootPairing.GeckConstruction.ω_mul_ωproof · cited by 5
- LieAlgebra.Orthogonal.PDproof · cited by 5
- Matrix.fromBlocks_smulstatement · cited by 4
- RootPairing.GeckConstruction.ω_mul_eproof · cited by 3