29 lines
644 B
Text
29 lines
644 B
Text
import logic
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namespace S1
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axiom I : Type
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definition F (X : Type) : Type := (X → Prop) → Prop
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axiom unfold.{l} : I.{l} → F I.{l}
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axiom foldd.{l} : F I.{l} → I.{l}
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axiom iso1 : ∀x, foldd (unfold x) = x
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end S1
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namespace S2
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universe u
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axiom I : Type.{u}
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definition F (X : Type) : Type := (X → Prop) → Prop
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axiom unfold : I → F I
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axiom foldd : F I → I
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axiom iso1 : ∀x, foldd (unfold x) = x
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end S2
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namespace S3
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context
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hypothesis I : Type
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definition F (X : Type) : Type := (X → Prop) → Prop
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hypothesis unfold : I → F I
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hypothesis foldd : F I → I
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hypothesis iso1 : ∀x, foldd (unfold x) = x
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end
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end S3
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