Theorems · Theorem · functional analysis
ContinuousLinearMap.hasTemperateGrowth
∀ {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] (f : E →L[ℝ] F), Function.HasTemperateGrowth ⇑f- Cited by
- 8 results in Mathlib
- Foundations
- Depth 202 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
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
- Realstatement and proof · cited by 25,697
- RingHom.idstatement and proof · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- Norm.normproof · cited by 5,413
- ContinuousLinearMapstatement and proof · cited by 5,352
- mul_oneproof · cited by 3,885
- LE.le.transproof · cited by 3,151
- pow_oneproof · cited by 894
- mul_addproof · cited by 413
- fderivproof · cited by 398
Cited by8
Results whose statement or proof uses this declaration.
- Function.Complex.hasTemperateGrowth_ofRealproof · cited by 10
- Function.hasTemperateGrowth_inner_leftproof · cited by 9
- Function.hasTemperateGrowth_norm_sqproof · cited by 3
- SchwartzMap.fourier_lineDerivOp_eqproof · cited by 3
- SchwartzMap.lineDerivOp_fourier_eqproof · cited by 2
- ContinuousLinearEquiv.hasTemperateGrowthproof · cited by 1
- Function.RCLike.hasTemperateGrowth_ofRealproof · cited by 1
- Function.hasTemperateGrowth_inner_rightproof · cited by 0