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Proof step 7 from proof prefix-num-01 (previous step)

char ' + str1 ⊑ char0 ' + str2 ⊦ char = char0, char ' + str1 = "", char0 ' + str2 = ""

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 8:
⊦ str ⊑ str0 ↔ s→l(str) ⊑ s→l(str0)

Rule argument

spec: inst: name: prefix-def seq: ⊦ str ⊑ str0 ↔ s→l(str) ⊑ s→l(str0) subst: [str0, str] → [char0 ' + str2, char ' + str1] flags: rewrite, current

Additional information

Used simplifier rules: ⊦ s→l(char ' + str) = char ' + s→l(str);% ⊦ (str1 + str2) + str3 = str1 + str2 + str3;% ⊦ char ' + chars ⊑ char0 ' + chars0 ↔ char = char0 ∧ chars ⊑ chars0;% ⊦ (chars + chars0) + chars1 = chars + chars0 + chars1; Used terms: char0 ' + str2, char ' + str1