Theorem s8len

Description: The length of a length 8 string. (Contributed by Mario Carneiro, 26-Feb-2016)

	Ref	Expression
Assertion	s8len	$$⊢\left|⟨“ABCDEFGH”⟩\right|=8$$

Proof

Step	Hyp	Ref	Expression
1		df-s8	$$⊢⟨“ABCDEFGH”⟩=⟨“ABCDEFG”⟩\mathrm{++}⟨“H”⟩$$
2		s7cli	$$⊢⟨“ABCDEFG”⟩\in \mathrm{Word}\mathrm{V}$$
3		s7len	$$⊢\left|⟨“ABCDEFG”⟩\right|=7$$
4		7p1e8	$$⊢7+1=8$$
5	1 2 3 4	cats1len	$$⊢\left|⟨“ABCDEFGH”⟩\right|=8$$