Theorems · Theorem · nonassociative algebras
LieIdeal.inclusion_apply
∀ {R : Type u} {L : Type v} [inst : CommRing R] [inst_1 : LieRing L] [inst_2 : LieAlgebra R L] {I₁ I₂ : LieIdeal R L}
(h : I₁ ≤ I₂) (x : ↥I₁), (LieIdeal.inclusion h) x = ⟨↑x, ⋯⟩- Defined in
- Mathlib.Algebra.Lie.Ideal
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 30 from the axioms · uses propext, Quot.sound
- Assumes
- CommRingLieRingLieAlgebra
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- CommRingstatement and proof · cited by 17,173
- LieRingstatement and proof · cited by 1,548
- LieAlgebrastatement and proof · cited by 1,246
- LieHomstatement · cited by 382
- LieIdealstatement and proof · cited by 282
- LieIdeal.inclusionstatement · cited by 4
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