Theorems · Theorem · operator theory
LinearMap.isPositive_ofNat
∀ {𝕜 : Type u_1} {E : Type u_2} [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E] [inst_2 : InnerProductSpace 𝕜 E]
{n : ℕ} [inst_3 : n.AtLeastTwo], (OfNat.ofNat n).IsPositive- Cited by
- 0 results in Mathlib
- Foundations
- Depth 168 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- LinearMapstatement · cited by 10,215
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- Nat.AtLeastTwostatement and proof · cited by 405
- LinearMap.IsPositivestatement · cited by 39
- LinearMap.isPositive_natCastproof · cited by 2
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