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Proof step 5 from proof n2s-zero (previous step)

n→s(n) = "0", n < 10 ⊦ n = 0

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ n < 10 → n→s(n) = ('0' + '1' + '2' + '3' + '4' + '5' + '6' + '7' + ('8' + '9'))[n] + ""
Proof step 7:
n < 10, ('0' + '1' + '2' + '3' + '4' + '5' + '6' + '7' + ('8' + '9'))[n] + "" = "0", n < 10 ⊦ n = 0

Rule argument

spec: 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 terms: n