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author | soto <soto@cr.ie.u-ryukyu.ac.jp> |
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date | Sun, 24 Apr 2022 23:13:44 +0900 |
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whileCallwP : (c : !$\mathbb{N}$!) !$\rightarrow$! whileTestPCallwP!$\prime$! c whileCallwP c = whileTestPwP {_} {_} c (!$\lambda$! env s !$\rightarrow$! loopPwP!$\prime$! (c10 env) env (sym (pi2 s)) (conv env s) {!!}) -- Goal: (env!$\_{1}$! : Envc) !$\rightarrow$! -- vari env!$\_{1}$! !$\equiv$! c10 env!$\_{1}$! !$\rightarrow$! -- loopPwP!$\prime$! c (whileTestP c (!$\lambda$! env!$\_{2}$! !$\rightarrow$! env!$\_{2}$!)) refl +zero -- (!$\lambda$! env!$\_{2}$! s!$\_{1}$! !$\rightarrow$! vari env!$\_{2}$! !$\equiv$! c10 env!$\_{2}$!) -- ———————————————————————— -- s : (vari env !$\equiv$! 0) !$\wedge$! (varn env !$\equiv$! c10 env) -- env : Envc -- c : !$\mathbb{N}$!