Theorems · Theorem · linear algebra
not_injective_dotProduct_right
∀ {m : Type u_2} {α : Type v} [inst : Fintype m] [inst_1 : CommRing α] [Nontrivial m] [Nontrivial α] (a : m → α),
¬Function.Injective fun x => x ⬝ᵥ a- Defined in
- Mathlib.Data.Matrix.Mul
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
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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
- Fintypestatement and proof · cited by 7,736
- Nontrivialstatement and proof · cited by 2,416
- dotProductstatement and proof · cited by 194
- zero_dotProductproof · cited by 9
- exists_ne_zero_dotProduct_eq_zeroproof · cited by 2
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