Mercurial > hg > Papers > 2020 > soto-midterm
view src/whileConvPSemSound.agda.replaced @ 1:73127e0ab57c
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author | soto@cr.ie.u-ryukyu.ac.jp |
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date | Tue, 08 Sep 2020 18:38:08 +0900 |
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whileConvPSemSound : {l : Level} @$\rightarrow$@ (input : Envc) @$\rightarrow$@ ((vari input @$\equiv$@ 0) @$\wedge$@ (varn input @$\equiv$@ c)) implies (varn input + vari input @$\equiv$@ c10 input) whileConvPSemSound input = proof @$\lambda$@ x @$\rightarrow$@ (conversion input x) where conversion : (env : Envc ) @$\rightarrow$@ (vari env @$\equiv$@ 0) @$\wedge$@ (varn env @$\equiv$@ c10 env) @$\rightarrow$@ varn env + vari env @$\equiv$@ c10 env conversion e record { pi1 = refl ; pi2 = refl } = +zero