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Proof step 12 from proof sortedchars-no-dups (previous step)

dups(s→l("!#$%&()*+-") + s→l("./0123456789:<=>?@") + s→l("ABCDEFGHIJKLM") + s→l("NOPQRSTUVWXYZ") + s→l("[]^_abcdefghi" + "jklmnopqrs" + "tuvwxyz|~")) ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 13:
⊦ s→l(str + str0) = s→l(str) + s→l(str0)
Proof step 14:
dups (s→l("!#$%&()*+-") + s→l("./0123456789:<=>?@") + s→l("ABCDEFGHIJKLM") + s→l("NOPQRSTUVWXYZ") + s→l("[]^_abcdefghi") + s→l("jklmnopqrs" + "tuvwxyz|~")) ⊦

Rule argument

spec: inst: name: s2l-app seq: ⊦ s→l(str + str0) = s→l(str) + s→l(str0) subst: [str0, str] → ["jklmnopqrs" + "tuvwxyz|~", "[]^_abcdefghi"] flags: rewrite, current

Additional information

Used terms: "jklmnopqrs" + "tuvwxyz|~", "[]^_abcdefghi"