diff src/whileConvPSemSound.agda.replaced @ 1:73127e0ab57c

(none)
author soto@cr.ie.u-ryukyu.ac.jp
date Tue, 08 Sep 2020 18:38:08 +0900
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--- /dev/null	Thu Jan 01 00:00:00 1970 +0000
+++ b/src/whileConvPSemSound.agda.replaced	Tue Sep 08 18:38:08 2020 +0900
@@ -0,0 +1,4 @@
+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