Theorems · Theorem · nonassociative algebras
LieIdeal.comap_incl_eq_bot
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {I I₂ : LieIdeal R L},
LieIdeal.comap I.incl I₂ = ⊥ ↔ Disjoint I I₂- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
Around this declaration
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Cites21
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- RingHom.idproof · cited by 18,349
- CommRingstatement and proof · cited by 17,173
- LinearMapproof · cited by 10,215
- Submoduleproof · cited by 7,192
- Bot.botstatement and proof · cited by 4,720
- Disjointstatement · cited by 2,201
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- Submodule.comapproof · cited by 347
- LieIdealstatement and proof · cited by 282
- LieSubmodule.toSubmoduleproof · cited by 150
- disjoint_iffproof · cited by 76
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