chore: generalize LieSubalgebra.mem_map_submodule#7994
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chore: generalize LieSubalgebra.mem_map_submodule#7994
LieSubalgebra.mem_map_submodule#7994Conversation
eric-wieser
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Oct 28, 2023
| theorem mem_map_submodule (e : L ≃ₗ⁅R⁆ L₂) (x : L₂) : | ||
| x ∈ K.map (e : L →ₗ⁅R⁆ L₂) ↔ x ∈ (K : Submodule R L).map (e : L →ₗ[R] L₂) := | ||
| theorem mem_map_submodule (e : L →ₗ⁅R⁆ L₂) (x : L₂) : | ||
| x ∈ K.map e ↔ x ∈ (K : Submodule R L).map (e : L →ₗ[R] L₂) := |
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I think there's a missing lemma here,
(K.map e : Submodule R L) = (K : Submodule R L).map (e : L →ₗ[R] L₂) :=
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added this, I think the name is right
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I'm not sure how to fix the lemmas in SelfAdjoint, I think they were using some crazy defeq that I don't know. I added some debugging information, |
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Not sure if we should rename to something like
mem_map_iff_mem_map_submoduleor not.