Equiv_Jの練習問題 WHILE_true
WHILE_true.v
Theorem WHILE_true: forall b c,
bequiv b BTrue ->
cequiv
(WHILE b DO c END)
(WHILE BTrue DO SKIP END).
Proof.
move => b c H.
unfold cequiv => st st'.
split => HH.
- destruct(WHILE_true_nonterm b c st st' H). by assumption.
- destruct(WHILE_true_nonterm BTrue SKIP st st').
- unfold bequiv. by reflexivity.
- by assumption.
Qed.
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