Mercurial > hg > Papers > 2020 > soto-midterm

annotate src/term3.agda.replaced @ 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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soto@cr.ie.u-ryukyu.ac.jp
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1 lemma1 : {c10 :@$\mathbb{N}$@} @$\rightarrow$@ Axiom (stmt1Cond {c10}) (@$\lambda$@ env @$\rightarrow$@ record { varn = varn env ; vari = 0 }) (stmt2Cond {c\
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2 10})
soto@cr.ie.u-ryukyu.ac.jp
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3 lemma1 {c10} env = impl@$\Rightarrow$@ ( @$\lambda$@ cond @$\rightarrow$@ let open @$\equiv$@-Reasoning in
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4 begin
soto@cr.ie.u-ryukyu.ac.jp
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5 (Equal (varn env) c10 ) @$\wedge$@ true
soto@cr.ie.u-ryukyu.ac.jp
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6 @$\equiv$@@$\langle$@ @$\wedge$@true @$\rangle$@
soto@cr.ie.u-ryukyu.ac.jp
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7 Equal (varn env) c10
soto@cr.ie.u-ryukyu.ac.jp
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8 @$\equiv$@@$\langle$@ cond @$\rangle$@
soto@cr.ie.u-ryukyu.ac.jp
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9 true
soto@cr.ie.u-ryukyu.ac.jp
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10 @$\blacksquare$@ )