Theorems · Theorem · general topology
Matrix.GeneralLinearGroup.fin_two_smul
∀ {R : Type u_3} [inst : CommRing R] (g : GL (Fin 2) R) (v : Fin 2 → R),
g • v = ![↑g 0 0 * v 0 + ↑g 0 1 * v 1, ↑g 1 0 * v 0 + ↑g 1 1 * v 1]- Cited by
- 0 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRing
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Matrixstatement · cited by 4,303
- Units.valstatement and proof · cited by 1,966
- Matrix.vecConsstatement and proof · cited by 852
- Matrix.vecEmptystatement and proof · cited by 832
- Matrix.GeneralLinearGroupstatement and proof · cited by 556
- Matrix.mulVec_fin_twoproof · cited by 1
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