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Proof step 6 from proof downcase-rec (previous step)

⊦ char + str0 = "", downcase(char + str0) = downcase(char) ' + downcase(str0)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 7:
⊦ downcase(char + str) = downcase(char) + downcase(str)

Rule argument

spec: inst: name: String-downcase-rec seq: ⊦ downcase(char + str) = downcase(char) + downcase(str) subst: [str, char] → [str0, char] flags: rewrite, current

Additional information

Used simplifier rules: ⊦ char + str = char ' + str;% ⊦ str + str0 = str + str1 ↔ str0 = str1;% ⊦ (str1 + str2) + str3 = str1 + str2 + str3; Used terms: str0, char