Theorems · Theorem · functional analysis
Function.HasTemperateGrowth.pow
∀ {R : Type u_3} {E : Type u_5} [inst : NormedAddCommGroup E] [inst_1 : NormedSpace ℝ E] [inst_2 : NormedRing R]
[inst_3 : NormedAlgebra ℝ R] {f : E → R},
Function.HasTemperateGrowth f → ∀ (k : ℕ), Function.HasTemperateGrowth (f ^ k)- Cited by
- 1 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- NormedAlgebrastatement and proof · cited by 1,165
- pow_zeroproof · cited by 1,094
- NormedRingstatement and proof · cited by 924
- pow_succproof · cited by 374
- Function.HasTemperateGrowthstatement and proof · cited by 88
- Function.HasTemperateGrowth.constproof · cited by 5
- Function.HasTemperateGrowth.mulproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Function.HasTemperateGrowth.fun_powproof · cited by 2