Theorems · Theorem · functional analysis
Function.HasTemperateGrowth.const
∀ {E : Type u_5} {F : Type u_6} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedAddCommGroup F]
[inst_3 : NormedSpace ℝ F] (c : F), Function.HasTemperateGrowth fun x => c- Cited by
- 5 results in Mathlib
- Foundations
- Depth 200 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement and proof · cited by 25,697
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Norm.normproof · cited by 5,413
- mul_oneproof · cited by 3,885
- pow_zeroproof · cited by 1,094
- Function.HasTemperateGrowthstatement and proof · cited by 88
- differentiable_constproof · cited by 14
- fderiv_fun_constproof · cited by 6
- Function.HasTemperateGrowth.of_fderivproof · cited by 4
- Function.HasTemperateGrowth.zeroproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- Function.hasTemperateGrowth_one_add_norm_sq_rpowproof · cited by 9
- SchwartzMap.smulLeftCLM_constproof · cited by 4
- SchwartzMap.smulLeftCLM_smulproof · cited by 3
- Function.HasTemperateGrowth.powproof · cited by 1
- Function.HasTemperateGrowth.idproof · cited by 1