Theorems · Definition · linear algebra
Module.Basis.finTwoProd
(R : Type u_7) → [inst : Semiring R] → Module.Basis (Fin 2) R (R × R)
The basis of R × R given by the two vectors (1, 0) and (0, 1).
- Defined in
- Mathlib.LinearAlgebra.Basis.Fin
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 76 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.
Cites5
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
- Module.Basisstatement · cited by 1,477
- LinearEquiv.symmproof · cited by 1,461
- Module.Basis.ofEquivFunproof · cited by 7
- LinearEquiv.finTwoArrowproof · cited by 5
Cited by8
Results whose statement or proof uses this declaration.
- fderivPolarCoordSymmproof · cited by 4
- det_fderivPolarCoordSymmproof · cited by 3
- Matrix.toLin_finTwoProd_applystatement and proof · cited by 2
- Module.Basis.finTwoProd_onestatement · cited by 1
- Module.Basis.finTwoProd_zerostatement · cited by 1
- Matrix.toLin_finTwoProd_toContinuousLinearMapstatement · cited by 1
- Module.Basis.coe_finTwoProd_reprstatement · cited by 0
- Matrix.toLin_finTwoProdstatement · cited by 0