Mercurial > hg > Papers > 2020 > soto-midterm
diff src/term1.agda.replaced @ 1:73127e0ab57c
(none)
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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--- /dev/null Thu Jan 01 00:00:00 1970 +0000 +++ b/src/term1.agda.replaced Tue Sep 08 18:38:08 2020 +0900 @@ -0,0 +1,15 @@ +stmt2Cond : {c10 :@$\mathbb{N}$@} @$\rightarrow$@ Cond +stmt2Cond {c10} env = (Equal (varn env) c10) @$\wedge$@ (Equal (vari env) 0) + +lemma1 : {c10 :@$\mathbb{N}$@} @$\rightarrow$@ Axiom (stmt1Cond {c10}) + (@$\lambda$@ env @$\rightarrow$@ record { varn = varn env ; vari = 0 }) (stmt2Cond {c10}) +lemma1 {c10} env = impl@$\Rightarrow$@ ( @$\lambda$@ cond @$\rightarrow$@ let open @$\equiv$@-Reasoning in + begin + ? -- ?0 + @$\equiv$@@$\langle$@ ? @$\rangle$@ -- ?1 + ? -- ?2 + @$\blacksquare$@ ) + +-- ?0 : Bool +-- ?1 : stmt2Cond (record { varn = varn env ; vari = 0 }) @$\equiv$@ true +-- ?2 : Bool