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Proof step 5 from proof numhex-rec (previous step)

⊦ char ' + str0 = "", hex(char ' + str0) = hex(str0) + 16 ^ n→i(# str0) * hexchar(char)

User applied rule insert rewrite lemma

And obtained the following new goals

Proof step 6:
⊦ str ≠ "" → hex(str) = hexchar(str.char1) * 16 ^ (n→i(# str) - 1) + hex(str.rstring)
Proof step 7:
char ' + str0 ≠ "" ⊦ char ' + str0 = "", hexchar((char ' + str0).char1) * 16 ^ (n→i(#(char ' + str0)) - 1) + hex((char ' + str0).rstring) = hex(str0) + 16 ^ n→i(# str0) * hexchar(char)

Rule argument

spec: inst: name: hex-rec seq: ⊦ str ≠ "" → hex(str) = hexchar(str.char1) * 16 ^ (n→i(# str) - 1) + hex(str.rstring) subst: [str] → [char ' + str0] flags: rewrite, current

Additional information

Used terms: char ' + str0