Theorems · Theorem · functional analysis
Function.hasTemperateGrowth_norm_sq
∀ (H : Type u_8) [inst : NormedAddCommGroup H] [inst_1 : InnerProductSpace ℝ H], Function.HasTemperateGrowth fun x => ‖x‖ ^ 2
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 206 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites29
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Realstatement and proof · cited by 25,697
- RingHom.idproof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpaceproof · cited by 12,499
- Norm.normstatement and proof · cited by 5,413
- ContinuousLinearMapproof · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- one_mulproof · cited by 2,841
- Nat.cast_oneproof · cited by 2,501
- le_of_ltproof · cited by 1,175
- norm_nonnegproof · cited by 725
Cited by3
Results whose statement or proof uses this declaration.
- Function.hasTemperateGrowth_one_add_norm_sq_rpowproof · cited by 9
- TemperedDistribution.besselPotential_neg_two_laplacian_eqproof · cited by 1
- TemperedDistribution.MemSobolev.laplacianproof · cited by 0