Theorems · Theorem · global analysis
VectorField.lieBracketWithin_univ
∀ {𝕜 : Type u_1} [inst : NontriviallyNormedField 𝕜] {E : Type u_2} [inst_1 : NormedAddCommGroup E]
[inst_2 : NormedSpace 𝕜 E] {V W : E → E}, VectorField.lieBracketWithin 𝕜 V W Set.univ = VectorField.lieBracket 𝕜 V W- Defined in
- Mathlib.Analysis.Calculus.VectorField
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- NormedAddCommGroupstatement and proof · cited by 15,752
- NormedSpacestatement and proof · cited by 12,499
- NontriviallyNormedFieldstatement and proof · cited by 8,742
- Set.univstatement · cited by 3,945
- fderivproof · cited by 398
- VectorField.lieBracketWithinstatement · cited by 57
- fderivWithin_univproof · cited by 29
- VectorField.lieBracketstatement · cited by 27
Cited by2
Results whose statement or proof uses this declaration.
- Filter.EventuallyEq.lieBracket_vectorField_eqproof · cited by 1
- VectorField.lieBracketWithin_of_mem_nhdsproof · cited by 1