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Proof step 6 from proof hex-rec (previous step)

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

Heuristic simplifier applied rule simplifier

And obtained the following new goals

Proof step 7:
⊦ char ' + str0 = "", hexint(hexstring(str0)) = hex(str0)

Rule argument

Additional information

Used simplifier rules: hexstring-rec-01: ⊦ hexstring(char ' + str) = hexchar(char) + hexstring(str);%hexint-rec: ⊦ hexint(i ' + ints) = i * 16 ^ n→i(# ints) + hexint(ints);%hexstring-length: ⊦ # hexstring(str) = # str;% ⊦ i + j = j + i;% ⊦ i + j + i0 = (i + j) + i0;% ⊦ i + j = i + i0 ↔ j = i0;% ⊦ (ints + ints0) + ints1 = ints + ints0 + ints1;% ⊦ (str1 + str2) + str3 = str1 + str2 + str3;% ⊦ i + ints = i ' + ints;% ⊦ i * j = j * i;