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add direct IsContinuousLinearMap rule for FunLike.coe
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  - this is necessary as there are some odd issues with product topology(likely
  a bug)
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lecopivo committed Jul 27, 2023
1 parent 33276f7 commit 915a4b4
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9 changes: 9 additions & 0 deletions SciLean/FunctionSpaces/ContinuousLinearMap/Basic.lean
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Expand Up @@ -234,6 +234,15 @@ variable
-- FunLike.coe -----------------------------------------------------------------
--------------------------------------------------------------------------------

-- This one is necessary because of some issues with topology on product spaces
-- This problem has to be a bug somewhere ...
@[fprop_rule]
theorem FunLike.coe.arg_f.IsContinuousLinearMap
(f : Y →L[R] Z)
: SciLean.IsContinuousLinearMap R f :=
by_morphism f (by simp)


@[fprop_rule]
theorem FunLike.coe.arg_f.IsContinuousLinearMap_comp
(f : Y →L[R] Z) (g : X → Y) (hg : SciLean.IsContinuousLinearMap R g)
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