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view Paper/src/while_loop_verif/conversion.agda @ 2:9176dff8f38a
ADD while loop description
author | soto <soto@cr.ie.u-ryukyu.ac.jp> |
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date | Fri, 05 Nov 2021 15:19:08 +0900 |
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conversion1 : {l : Level} {t : Set l } → (env : Env) → {c10 : ℕ } → ((vari env) ≡ 0) /\ ((varn env) ≡ c10) → (Code : (env1 : Env) → (varn env1 + vari env1 ≡ c10) → t) → t conversion1 env {c10} p1 next = next env proof4 where proof4 : varn env + vari env ≡ c10 proof4 = let open ≡-Reasoning in begin varn env + vari env ≡⟨ cong ( λ n → n + vari env ) (pi2 p1 ) ⟩ c10 + vari env ≡⟨ cong ( λ n → c10 + n ) (pi1 p1 ) ⟩ c10 + 0 ≡⟨ +-sym {c10} {0} ⟩ c10 ∎