Theorems · Theorem · nonassociative algebras
LieAlgebra.Extension.proj_incl
∀ {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) (x : M), E.proj (E.incl x) = 0- Defined in
- Mathlib.Algebra.Lie.Extension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 34 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 · cited by 19
- LieAlgebra.Extension.inclstatement · cited by 10
- LieHom.mem_kerproof · cited by 9
- LieAlgebra.Extension.incl_apply_mem_kerproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.Extension.lie_incl_mem_kerproof · cited by 0