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dummy structure to cheat the CI
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theories/functional_analysis/hahn_banach_theorem.v

Lines changed: 14 additions & 3 deletions
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@@ -55,10 +55,17 @@ There are two ways out:
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- declare an additional structure that inherits from both Num.SemiNormedZmodule and SubType and from which SubNormedZmodule and/or Num.SubNormedZmodule inherit.
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*)
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HB.mixin Record isTmp (R : numDomainType) (V : normedZmodType R) (S : pred V)
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(U : Type) :=
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{
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field_tmp : True
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}.
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#[short(type="subNormedZmodType")]
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HB.structure Definition SubNormedZmodule (R : numDomainType)
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HB.structure Definition SubNormedZmodule_tmp (R : numDomainType)
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(V : normedZmodType R) (S : pred V) :=
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{ U of SubChoice V S U & Num.NormedZmodule R U & GRing.SubZmodule V S U
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{ U of @isTmp R V S U & SubChoice V S U & Num.NormedZmodule R U & GRing.SubZmodule V S U
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& Zmodule_isSubNormed R V S U }.
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HB.mixin Record isSubNbhs
@@ -321,7 +328,7 @@ Fail HB.end.
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HB.structure Definition SubNormedModule (R : numDomainType)
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(V : normedModType R) (S : pred V) :=
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{ U of SubChoice V S U & NormedModule R U & @GRing.SubLmodule R V S U
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& @SubNormedZmodule(*Zmodule_isSubSemiNormed*) R V S U & @SubConvexTvs R V S U}.
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& @SubNormedZmodule_tmp(*Zmodule_isSubSemiNormed*) R V S U & @SubConvexTvs R V S U}.
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Section filter_ent.
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@@ -388,6 +395,10 @@ but then we have Fail Check (U : pseudometricnormedzmodtype R) and Fail Check (U
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*)
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Check (U : normedModType R).
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Let tmp_tmp : True. Proof. by []. Qed.
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HB.instance Definition _ := @isTmp.Build R V S U Logic.I.
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Let normu_valE : forall x, @Num.norm _ V ((val : U -> V) x) = @Num.norm _ U x.
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Proof. by []. Qed.
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