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Theorems · Theorem · nonassociative algebras

LieAlgebra.IsExtension.ker_eq_bot

∀ {R : Type u_1} {N : Type u_2} {L : Type u_3} {M : Type u_4} {inst : CommRing R} {inst_1 : LieRing L}
  {inst_2 : LieAlgebra R L} {inst_3 : LieRing N} {inst_4 : LieAlgebra R N} {inst_5 : LieRing M}
  {inst_6 : LieAlgebra R M} {i : N →ₗ⁅R⁆ L} (p : L →ₗ⁅R⁆ M) [self : LieAlgebra.IsExtension i p], i.ker = ⊥
Defined in
Mathlib.Algebra.Lie.Extension
Cited by
1 results in Mathlib
Foundations
Depth 30 from the axioms · uses propext, Quot.sound
Assumes
LieAlgebra.IsExtension
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Around this declaration

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

LieAlgebra.Extension.incl_injective · cited by 0Extension.incl_injectiveCommRing · cited by 17173CommRingBot.bot · cited by 4720Bot.botLieRing · cited by 1548LieRingLieAlgebra · cited by 1246LieAlgebraLieHom · cited by 382LieHomLieIdeal · cited by 282LieIdealLieHom.ker · cited by 37LieHom.kerLieAlgebra.IsExtension · cited by 14LieAlgebra.IsExtensionIsExtension.ker_eq_botCITED BYCITES

Cites8

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Cited by1

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