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Proof step 5 from proof val-trans (previous step)

∀ str3, char, str0. str < str3 ∧ char ' + str0 < str ∧ (∀ str2, str3. str0 < str2 ∧ str2 < str3 → str0 < str3) → char ' + str0 < str3, char0 + str < str3, char ' + str0 < char0 + str, ∀ str2, str3. str0 < str2 ∧ str2 < str3 → str0 < str3 ⊦ char ' + str0 < str3

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 6:
char0 ' + str < str3, char ' + str0 < char0 ' + str, ∀ str3, char, str0. str < str3 ∧ char ' + str0 < str ∧ (∀ str2, str3. str0 < str2 ∧ str2 < str3 → str0 < str3) → char ' + str0 < str3, ∀ str2, str3. str0 < str2 ∧ str2 < str3 → str0 < str3 ⊦ char ' + str0 < str3

Rule argument

Additional information

Used simplifier rules: chartostring-01: ⊦ char + str = char ' + str; from specification string-append