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Proof step 3 from proof downcase-rec (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 4:
⊦ char ' + str0 = "", downcase(char ' + str0) = downcase(char) ' + downcase(str0)

Rule argument

Additional information

Used simplifier rules: ⊦ char + str = char ' + str;