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Proof step 12 from proof downcase-C (previous step)

pos('A', sortedchars) ≤ pos('C', sortedchars), pos('C', sortedchars) ≤ pos('Z', sortedchars), pos('A', sortedchars) ≤ pos('Z', sortedchars) ⊦ s→l(sortedchars)[pos('C', sortedchars) + (pos('a', sortedchars) - pos('A', sortedchars))] = 'c'

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ pos('C', sortedchars) = 30
Proof step 14:
pos('A', sortedchars) ≤ 30, 30 ≤ pos('Z', sortedchars), pos('A', sortedchars) ≤ pos('Z', sortedchars) ⊦ s→l(sortedchars)[30 + (pos('a', sortedchars) - pos('A', sortedchars))] = 'c'

Rule argument

spec: string-less inst: name: pos-C seq: ⊦ pos('C', sortedchars) = 30 subst: flags: rewrite

Additional information

Used terms: