Theorems · Theorem · linear algebra
Module.Basis.finTwoProd_zero
∀ (R : Type u_7) [inst : Semiring R], (Module.Basis.finTwoProd R) 0 = (1, 0)
- Defined in
- Mathlib.LinearAlgebra.Basis.Fin
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 80 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.
Cites27
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Semiringstatement and proof · cited by 13,802
- Module.Basisstatement · cited by 1,477
- LinearEquiv.symmproof · cited by 1,461
- LinearEquiv.toLinearMapproof · cited by 1,171
- Matrix.vecConsproof · cited by 852
- Matrix.vecEmptyproof · cited by 832
- Equiv.toFunproof · cited by 279
- LinearMap.toAddHomproof · cited by 165
- Equiv.invFunproof · cited by 163
- Pi.single_eq_sameproof · cited by 144
- Pi.single_eq_of_neproof · cited by 116
Cited by1
Results whose statement or proof uses this declaration.
- Matrix.toLin_finTwoProd_applyproof · cited by 2