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Proof step 7 from proof prefix-num (previous step)

⊦ char ' + str1 = "", char ' + str2 = "", char ' + str1 ⊑ char ' + str2 ↔ str1 ⊑ str2

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ str ⊑ str0 ↔ s→l(str) ⊑ s→l(str0)
Proof step 9:
⊦ char ' + str1 = "", char ' + str2 = "", s→l(char ' + str1) ⊑ s→l(char ' + str2) ↔ str1 ⊑ str2

Rule argument

spec: inst: name: prefix-def seq: ⊦ str ⊑ str0 ↔ s→l(str) ⊑ s→l(str0) subst: [str0, str] → [char ' + str2, char ' + str1] flags: rewrite, current

Additional information

Used terms: char ' + str2, char ' + str1