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Theorems · Theorem · nonassociative algebras

LieHom.ker_fst

∀ (R : Type u_1) (L₁ : Type u_2) (L₂ : Type u_3) [inst : CommRing R] [inst_1 : LieRing L₁] [inst_2 : LieAlgebra R L₁]
  [inst_3 : LieRing L₂] [inst_4 : LieAlgebra R L₂],
  LieIdeal.toLieSubalgebra R (L₁ × L₂) (LieHom.fst R L₁ L₂).ker = (LieHom.inr R L₁ L₂).range
Defined in
Mathlib.Algebra.Lie.Prod
Cited by
0 results in Mathlib
Foundations
Depth 32 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
CommRingLieRingLieAlgebraLieRingLieAlgebra
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CommRing · cited by 17173CommRingLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieSubalgebra · cited by 418LieSubalgebraLieIdeal.toLieSubalgebra · cited by 48LieIdeal.toLieSubalgebraLieHom.range · cited by 44LieHom.rangeLieHom.ker · cited by 37LieHom.kerLieHom.inr · cited by 10LieHom.inrLieHom.fst · cited by 9LieHom.fstLieHom.range_inr · cited by 1LieHom.range_inrLieHom.ker_fstCITED BYCITES

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