Mercurial > hg > Members > kono > Proof > category

annotate level-ex.agda @ 774:f3a493da92e8

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add simple category version
author Shinji KONO <kono@ie.u-ryukyu.ac.jp>
date Wed, 13 Jun 2018 12:56:38 +0900
parents d6a6dd305da2
children
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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1 module level-ex where
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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2
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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3 open import Level
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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4
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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5 postulate ℓ : Level
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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6
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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7 postulate A : Set ℓ
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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8
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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9 postulate a : A
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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10
300
d6a6dd305da2 arrow and lambda fix
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 153
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11 lemma1 : Set ℓ → A
d6a6dd305da2 arrow and lambda fix
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 153
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12 lemma1 = λ x → a
153
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents:
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13
300
d6a6dd305da2 arrow and lambda fix
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 153
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14 lemma2 : A → Set ℓ
d6a6dd305da2 arrow and lambda fix
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 153
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15 lemma2 = λ x → A
153
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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16
Shinji KONO <kono@ie.u-ryukyu.ac.jp>
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17 lemma3 : Set (suc ℓ)
300
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Shinji KONO <kono@ie.u-ryukyu.ac.jp>
parents: 153
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18 lemma3 = A → Set ℓ