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Proof step 4 from proof downcase-lower-a (previous step)

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

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 5:
⊦ pos('A', sortedchars) = 28
Proof step 6:
28 ≤ pos('a', sortedchars), pos('a', sortedchars) ≤ pos('Z', sortedchars), 28 ≤ pos('Z', sortedchars) ⊦ downcase('a') = 'a'

Rule argument

spec: string-less inst: name: pos-A seq: ⊦ pos('A', sortedchars) = 28 subst: flags: rewrite

Additional information

Used terms: