Definition df-s4 11544

Description: Define the length 4 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)

Assertion

Ref	Expression
df-s4	⊢ ⟨“𝐴𝐵𝐶𝐷”⟩ = (⟨“𝐴𝐵𝐶”⟩ ++ ⟨“𝐷”⟩)

Detailed syntax breakdown of Definition df-s4

Step	Hyp	Ref	Expression
1		cA	. . 3 class 𝐴
2		cB	. . 3 class 𝐵
3		cC	. . 3 class 𝐶
4		cD	. . 3 class 𝐷
5	1, 2, 3, 4	cs4 11537	. 2 class ⟨“𝐴𝐵𝐶𝐷”⟩
6	1, 2, 3	cs3 11536	. . 3 class ⟨“𝐴𝐵𝐶”⟩
7	4	cs1 11397	. . 3 class ⟨“𝐷”⟩
8		cconcat 11372	. . 3 class ++
9	6, 7, 8	co 6085	. 2 class (⟨“𝐴𝐵𝐶”⟩ ++ ⟨“𝐷”⟩)
10	5, 9	wceq 1402	1 wff ⟨“𝐴𝐵𝐶𝐷”⟩ = (⟨“𝐴𝐵𝐶”⟩ ++ ⟨“𝐷”⟩)

This definition is used by:  s4eqd  11558  s4cld  11566  s1s3d  11581  s1s4d  11582  s2s2d  11586  s4s4d  11592  konigsberglem1  16827  konigsberglem2  16828  konigsberglem3  16829