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Proof step 7 from proof downcase-lower-a (previous step)

28 ≤ pos('a', sortedchars), pos('a', sortedchars) ≤ pos('Z', sortedchars), 28 ≤ pos('Z', sortedchars) ⊦ downcase('a') = 'a', pos('a', sortedchars) = 0, pos('Z', sortedchars) = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ pos('a', sortedchars) = 58
Proof step 9:
28 ≤ 58, 58 ≤ pos('Z', sortedchars), 28 ≤ pos('Z', sortedchars) ⊦ downcase('a') = 'a', 58 = 0, pos('Z', sortedchars) = 0

Rule argument

spec: string-less inst: name: pos-a seq: ⊦ pos('a', sortedchars) = 58 subst: flags: rewrite

Additional information

Used terms: