forked from GitHub/gf-core
48 lines
1.5 KiB
Plaintext
48 lines
1.5 KiB
Plaintext
abstract Theory = {
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cat
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Chapter ;
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Jment ;
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[Jment] {0} ;
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Decl ;
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[Decl] {0} ;
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Prop ;
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Proof ;
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[Proof] {2} ;
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Branch ;
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Typ ;
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Obj ;
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Label ;
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Ref ;
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[Ref] ;
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Adverb ;
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Number ;
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fun
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Chap : Label -> [Jment] -> Chapter ; -- title, text
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JDefObj : [Decl] -> Obj -> Obj -> Jment ; -- a = b (G)
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JDefObjTyp : [Decl] -> Typ -> Obj -> Obj -> Jment ; -- a = b : A (G)
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JDefProp : [Decl] -> Prop -> Prop -> Jment ; -- A = B : Prop (G)
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JThm : [Decl] -> Prop -> Proof -> Jment ; -- p : P (G)
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DProp : Prop -> Decl ; -- assume P
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DPropLabel : Label -> Prop -> Label ; -- assume P (h)
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DTyp : Obj -> Typ -> Decl ; -- let x,y be T
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PProp : Prop -> Proof ; -- P.
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PAdvProp : Adverb -> Prop -> Proof ; -- Hence, P.
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PDecl : Decl -> Proof ; -- Assume P.
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PBranch : Branch -> [Proof] -> Proof ; -- By cases: P1 P2
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BCases : Number -> Branch ; -- We have n cases.
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ARef : Ref -> Adverb ; -- by Thm 2
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AHence : Adverb ; -- therefore
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AAFort : Adverb ; -- a fortiori
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RLabel : Label -> Ref ; -- Thm 2
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RMany : [Ref] -> Ref ; -- Thm 2 and Lemma 4
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}
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