Theorems · Theorem · general topology
Matrix.mulVec_fin_two
∀ {R : Type u_1} [inst : Semiring R] (m : Matrix (Fin 2) (Fin 2) R) (v : Fin 2 → R),
m.mulVec v = ![m 0 0 * v 0 + m 0 1 * v 1, m 1 0 * v 0 + m 1 1 * v 1]- Cited by
- 1 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Semiring
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Semiringstatement and proof · cited by 13,802
- Matrixstatement and proof · cited by 4,303
- Finset.univproof · cited by 3,473
- Matrix.vecConsstatement · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- MulOpposite.opproof · cited by 520
- Matrix.transposeproof · cited by 389
- Matrix.mulVecstatement · cited by 267
- Finset.sum_applyproof · cited by 234
- Matrix.cons_val_fin_oneproof · cited by 225
- Fintype.elemsproof · cited by 194
- Fintype.completeproof · cited by 192
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.GeneralLinearGroup.fin_two_smulproof · cited by 0