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annotate Paper/src/agda-term1.agda @ 0:14a0e409d574

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ADD fast commit
author soto <soto@cr.ie.u-ryukyu.ac.jp>
date Sun, 24 Apr 2022 23:13:44 +0900
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Ignore whitespace changes - Everywhere: Within whitespace: At end of lines:
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14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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1 +-comm : (x y : ℕ) → x + y ≡ y + x
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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2 +-comm zero y rewrite (+zero {y}) = refl
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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3 +-comm (suc x) y = let open ≡-Reasoning in
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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4 begin
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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5 ?0 ≡⟨ ?1 ⟩
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soto <soto@cr.ie.u-ryukyu.ac.jp>
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6 ?2 ∎
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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7
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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8 -- ?0 : ℕ {(suc x) + y}
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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9 -- ?1 : suc x + y ≡ y + suc x
14a0e409d574 ADD fast commit
soto <soto@cr.ie.u-ryukyu.ac.jp>
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10 -- ?2 : ℕ