Theorems · Theorem · nonassociative algebras
LieIdeal.map_mono
∀ {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'}, Monotone (LieIdeal.map f)- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites14
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
- LieRingstatement and proof · cited by 1,548
- Monotonestatement · cited by 1,397
- LieAlgebrastatement and proof · cited by 1,246
- Submodule.mapproof · cited by 614
- LieHomstatement and proof · cited by 382
- LieIdealstatement and proof · cited by 282
- LieSubalgebra.toSubmoduleproof · cited by 90
- LieHom.toLinearMapproof · cited by 74
- LieIdeal.toLieSubalgebraproof · cited by 48
- LieIdeal.mapstatement · cited by 33
- SetLike.coe_monoproof · cited by 18
Cited by2
Results whose statement or proof uses this declaration.
- LieIdeal.map_sup_ker_eq_mapproof · cited by 2
- LieHom.map_le_idealRangeproof · cited by 1