Theorems · Theorem · functional analysis
SchwartzMap.fourierMultiplierCLM.congr_simp
∀ {𝕜 : Type u_2} {E : Type u_3} (F : Type u_4) [inst : RCLike 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedAddCommGroup F] [inst_3 : InnerProductSpace ℝ E] [inst_4 : NormedSpace ℂ F] [inst_5 : NormedSpace 𝕜 F]
[inst_6 : SMulCommClass ℂ 𝕜 F] [inst_7 : FiniteDimensional ℝ E] [inst_8 : MeasurableSpace E] [inst_9 : BorelSpace E]
(g g_1 : E → 𝕜), g = g_1 → SchwartzMap.fourierMultiplierCLM F g = SchwartzMap.fourierMultiplierCLM F g_1- Cited by
- 1 results in Mathlib
- Foundations
- Depth 300 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- RingHom.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- MeasurableSpacestatement and proof · cited by 13,106
- NormedSpacestatement and proof · cited by 12,499
- Complexstatement and proof · cited by 5,565
- ContinuousLinearMapstatement · cited by 5,352
- InnerProductSpacestatement and proof · cited by 3,523
- RCLikestatement and proof · cited by 2,829
- SMulCommClassstatement and proof · cited by 1,927
- FiniteDimensionalstatement and proof · cited by 1,854
- BorelSpacestatement and proof · cited by 1,602
Cited by1
Results whose statement or proof uses this declaration.
- SchwartzMap.laplacian_eq_fourierMultiplierCLMproof · cited by 0