Mercurial > hg > Papers > 2019 > ryokka-sigss
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author | ryokka |
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date | Tue, 18 Dec 2018 04:08:28 +0900 |
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stmt2Cond : {c10 :@$\mathbb{N}$@} → Cond stmt2Cond {c10} env = (Equal (varn env) c10) @$\wedge$@ (Equal (vari env) 0) lemma1 : {c10 :@$\mathbb{N}$@} → Axiom (stmt1Cond {c10}) (@$\lambda$@ env → record { varn = varn env ; vari = 0 }) (stmt2Cond {c\ 10}) lemma1 {c10} env = impl@$\Rightarrow$@ ( @$\lambda$@ cond → 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