Mercurial > hg > Papers > 2020 > soto-midterm
comparison src/term1.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 |
| parents | |
| children |
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| 0:b919985837a3 | 1:73127e0ab57c |
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| 1 stmt2Cond : {c10 :@$\mathbb{N}$@} @$\rightarrow$@ Cond | |
| 2 stmt2Cond {c10} env = (Equal (varn env) c10) @$\wedge$@ (Equal (vari env) 0) | |
| 3 | |
| 4 lemma1 : {c10 :@$\mathbb{N}$@} @$\rightarrow$@ Axiom (stmt1Cond {c10}) | |
| 5 (@$\lambda$@ env @$\rightarrow$@ record { varn = varn env ; vari = 0 }) (stmt2Cond {c10}) | |
| 6 lemma1 {c10} env = impl@$\Rightarrow$@ ( @$\lambda$@ cond @$\rightarrow$@ let open @$\equiv$@-Reasoning in | |
| 7 begin | |
| 8 ? -- ?0 | |
| 9 @$\equiv$@@$\langle$@ ? @$\rangle$@ -- ?1 | |
| 10 ? -- ?2 | |
| 11 @$\blacksquare$@ ) | |
| 12 | |
| 13 -- ?0 : Bool | |
| 14 -- ?1 : stmt2Cond (record { varn = varn env ; vari = 0 }) @$\equiv$@ true | |
| 15 -- ?2 : Bool |