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Proof step 1 from proof right-trim-app (conclusion)

∀ char. char ∈ str1 → char ∈ str ⊦ string-right-trim(str, str0 + str1) = string-right-trim(str, str0)

User applied rule induction

And obtained the following new goals

Proof step 2:
∀ char. char ∈ str1 → char ∈ str, ∀ str0, str, str2. # str2 < # str1 → (∀ char. char ∈ str2 → char ∈ str) → string-right-trim(str, str0 + str2) = string-right-trim(str, str0) ⊦ string-right-trim(str, str0 + str1) = string-right-trim(str, str0)

Rule argument

indvar: # str1 wfpred: <

Additional information

Used simplifier rules: <; (wellfounded) Used terms: # str1