Theorems · Theorem · global analysis
Filter.EventuallyEq.lieBracket_vectorField
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {V W V₁ W₁ : E → E} {x : E},
V₁ =ᶠ[nhds x] V → W₁ =ᶠ[nhds x] W → VectorField.lieBracket 𝕜 V₁ W₁ =ᶠ[nhds x] VectorField.lieBracket 𝕜 V W- Defined in
- Mathlib.Analysis.Calculus.VectorField
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 170 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.
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- nhdsstatement and proof · cited by 5,554
- Filter.EventuallyEqstatement and proof · cited by 1,912
- Filter.univ_mem'proof · cited by 1,672
- Filter.mp_memproof · cited by 1,537
- VectorField.lieBracketstatement · cited by 27
- Filter.EventuallyEq.eventuallyEq_nhdsproof · cited by 5
- Filter.EventuallyEq.lieBracket_vectorField_eqproof · cited by 1
Cited by0
Results whose statement or proof uses this declaration.
Nothing cites this yet.