Theorems · Theorem · functional analysis
ContDiffMapSupportedIn.monoLM_eq_zero
∀ (𝕜 : Type u_1) {E : Type u_2} {F : Type u_3} [inst : NontriviallyNormedField 𝕜] [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace ℝ E] [inst_3 : NormedAddCommGroup F] [inst_4 : NormedSpace ℝ F] [inst_5 : NormedSpace 𝕜 F]
[inst_6 : SMulCommClass ℝ 𝕜 F] {n₁ n₂ : ℕ∞} {K₁ K₂ : TopologicalSpace.Compacts E},
¬(n₂ ≤ n₁ ∧ K₁ ≤ K₂) → ContDiffMapSupportedIn.monoLM 𝕜 = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 219 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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.idstatement · cited by 18,349
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- LinearMapstatement · cited by 10,215
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- ENatstatement and proof · cited by 4,985
- SMulCommClassstatement and proof · cited by 1,927
- LinearMap.extproof · cited by 844
- TopologicalSpace.Compactsstatement and proof · cited by 386
- zero_applyproof · cited by 251
Cited by1
Results whose statement or proof uses this declaration.
- ContDiffMapSupportedIn.seminorm_monoLM_leproof · cited by 0