Theorems · Theorem · nonassociative algebras
LieSubalgebra.toSubmodule_injective
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L],
Function.Injective LieSubalgebra.toSubmodule- Defined in
- Mathlib.Algebra.Lie.Subalgebra
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext
- Assumes
- CommRingLieRingLieAlgebra
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
- Submodulestatement · cited by 7,192
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieSubalgebrastatement and proof · cited by 418
- LieSubalgebra.toSubmodulestatement and proof · cited by 90
- SetLike.ext'_iffproof · cited by 78
- LieSubalgebra.coe_set_eqproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- LieSubalgebra.toSubmodule_injproof · cited by 8
- LieAlgebra.engel_isBot_of_isMinproof · cited by 1
- LieAlgebra.exists_isCartanSubalgebra_engel_of_finrank_le_cardproof · cited by 1