[Imprint][Data Privacy Statement][E-Mail]

View long theorem info. View the proof. Back to main index. View the specification. View theorem base summary, View theorem base listing, the used properties by spec, the dependency list, the symbol table,

Proof step 1 from proof len-app (conclusion)

⊦ #(str + str0) = # str + # str0

User applied rule structural induction

And obtained the following new goals

Proof step 2:
∀ str0. #(str1 + str0) = # str1 + # str0 ⊦ #((char + str1) + str0) = #(char + str1) + # str0

Rule argument

indvar: str

Additional information

Used simplifier rules: string freely generated by "", +;;% ⊦ "" + str = str; (s)%a: ⊦ (str + str0) + str1 = str + str0 + str1; from specification list[string]% ⊦ # "" = 0; (s)% ⊦ n + 0 = n; (s)%a: ⊦ (m + n0) + n1 = m + n0 + n1; from specification nat-basic%c: ⊦ m + n = n + m; from specification nat-basic