Theorems · Theorem · nonassociative algebras
LieAlgebra.IsExtension.range_eq_top
∀ {R : Type u_1} {N : Type u_2} {L : Type u_3} {M : Type u_4} {inst : CommRing R} {inst_1 : LieRing L}
{inst_2 : LieAlgebra R L} {inst_3 : LieRing N} {inst_4 : LieAlgebra R N} {inst_5 : LieRing M}
{inst_6 : LieAlgebra R M} (i : N →ₗ⁅R⁆ L) {p : L →ₗ⁅R⁆ M} [self : LieAlgebra.IsExtension i p], p.range = ⊤- Defined in
- Mathlib.Algebra.Lie.Extension
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 28 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- LieAlgebra.IsExtension
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- CommRingstatement and proof · cited by 17,173
- Top.topstatement · cited by 9,680
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement · cited by 418
- LieHomstatement and proof · cited by 382
- LieHom.rangestatement · cited by 44
- LieAlgebra.IsExtensionstatement and proof · cited by 14
Cited by1
Results whose statement or proof uses this declaration.
- LieAlgebra.Extension.proj_surjectiveproof · cited by 4