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Proof step 4 from proof n2s-empty (previous step)

n→s(n) = "", ∀ n0. n0 < n → n→s(n0) = "" → false ⊦

User applied rule insert rewrite lemma

And obtained the following new goals

Rule argument

spec: string2nat inst: name: n2s-char seq: ⊦ n < 10 → n→s(n) = ( '0' + '1' + '2' + '3' + '4' + '5' + '6' + '7' + ('8' + '9') )[n ] + "" subst: [n] → [n] flags: rewrite, current

Additional information

Used simplifier rules: ⊦ char + char0 = char ' + char0 ';% ⊦ char + chars = char ' + chars;% ⊦ char + str = char ' + str;% ⊦ str1 + "" = str1;% ⊦ (str1 + str2) + str3 = str1 + str2 + str3;% ⊦ char ' ≠ ""; Used terms: n