Theorems · Theorem · nonassociative algebras
LieAlgebra.Extension.proj_surjective
∀ {R : Type u_1} {L : Type u_3} {M : Type u_4} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L]
[inst_3 : LieRing M] [inst_4 : LieAlgebra R M] (E : LieAlgebra.Extension R M L), Function.Surjective ⇑E.proj- Defined in
- Mathlib.Algebra.Lie.Extension
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieHomstatement · cited by 382
- LieAlgebra.Extension.Lstatement · cited by 21
- LieAlgebra.Extensionstatement and proof · cited by 20
- LieAlgebra.Extension.projstatement and proof · cited by 19
- LieAlgebra.Extension.inclproof · cited by 10
- LieHom.range_eq_topproof · cited by 4
- LieAlgebra.IsExtension.range_eq_topproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- LieAlgebra.Extension.lieModuleOfproof · cited by 3
- LieAlgebra.Extension.ringModuleOf_bracket_projproof · cited by 1
- LieAlgebra.Extension.toKer_bracketstatement and proof · cited by 0
- LieAlgebra.Extension.d₁₂_oneCochainOfTwoSplittingproof · cited by 0