Theorems · Theorem · nonassociative algebras
LieHom.ker_toSubmodule
∀ {R : Type u} {L : Type v} {L' : Type w₂} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieRing L']
[inst_3 : LieAlgebra R L'] [inst_4 : LieAlgebra R L] (f : L →ₗ⁅R⁆ L'), ↑f.ker = (↑f).ker- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idstatement · cited by 18,349
- 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
- LinearMap.kerstatement · cited by 848
- LieHomstatement and proof · cited by 382
- LieSubmodule.toSubmodulestatement · cited by 150
- LieHom.toLinearMapstatement · cited by 74
- LieHom.kerstatement · cited by 37
Cited by5
Results whose statement or proof uses this declaration.
- LieHom.ker_eq_botproof · cited by 3
- LieIdeal.comap_bracket_eqproof · cited by 2
- LieHom.range_inlproof · cited by 1
- LieHom.range_inrproof · cited by 1
- LieIdeal.comap_map_eqproof · cited by 0