Mercurial > hg > Papers > 2020 > soto-midterm

annotate src/term1.agda @ 1:73127e0ab57c

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author soto@cr.ie.u-ryukyu.ac.jp
date Tue, 08 Sep 2020 18:38:08 +0900
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Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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soto@cr.ie.u-ryukyu.ac.jp
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1 stmt2Cond : {c10 :ℕ} → Cond
soto@cr.ie.u-ryukyu.ac.jp
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2 stmt2Cond {c10} env = (Equal (varn env) c10) ∧ (Equal (vari env) 0)
soto@cr.ie.u-ryukyu.ac.jp
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3
soto@cr.ie.u-ryukyu.ac.jp
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4 lemma1 : {c10 :ℕ} → Axiom (stmt1Cond {c10})
soto@cr.ie.u-ryukyu.ac.jp
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5 (λ env → record { varn = varn env ; vari = 0 }) (stmt2Cond {c10})
soto@cr.ie.u-ryukyu.ac.jp
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6 lemma1 {c10} env = impl⇒ ( λ cond → let open ≡-Reasoning in
soto@cr.ie.u-ryukyu.ac.jp
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7 begin
soto@cr.ie.u-ryukyu.ac.jp
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8 ? -- ?0
soto@cr.ie.u-ryukyu.ac.jp
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9 ≡⟨ ? ⟩ -- ?1
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10 ? -- ?2
soto@cr.ie.u-ryukyu.ac.jp
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11 ∎ )
soto@cr.ie.u-ryukyu.ac.jp
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12
soto@cr.ie.u-ryukyu.ac.jp
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13 -- ?0 : Bool
soto@cr.ie.u-ryukyu.ac.jp
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14 -- ?1 : stmt2Cond (record { varn = varn env ; vari = 0 }) ≡ true
soto@cr.ie.u-ryukyu.ac.jp
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15 -- ?2 : Bool