Mathlib Map

Theorems · Theorem · nonassociative algebras

LieIdeal.comap_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.comap f)
Defined in
Mathlib.Algebra.Lie.Ideal
Cited by
1 results in Mathlib
Foundations
Depth 29 from the axioms · uses propext, Quot.sound
Assumes
CommRingLieRingLieRingLieAlgebraLieAlgebra
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

LieHom.ker_le_comap · cited by 0LieHom.ker_le_comapCommRing · cited by 17173CommRingLieRing · cited by 1548LieRingMonotone · cited by 1397MonotoneLieAlgebra · cited by 1246LieAlgebraLieHom · cited by 382LieHomLieIdeal · cited by 282LieIdealSet.preimage_mono · cited by 95Set.preimage_monoSetLike.coe_subset_coe · cited by 53SetLike.coe_subset_coeLieIdeal.comap · cited by 21LieIdeal.comapLieIdeal.comap_monoCITED BYCITES

Cites9

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.