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Definition df-s2 11542
Description: Define the length 2 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)
Assertion
Ref Expression
df-s2 ⟨“𝐴𝐵”⟩ = (⟨“𝐴”⟩ ++ ⟨“𝐵”⟩)

Detailed syntax breakdown of Definition df-s2
StepHypRef Expression
1 cA . . 3 class 𝐴
2 cB . . 3 class 𝐵
31, 2cs2 11535 . 2 class ⟨“𝐴𝐵”⟩
41cs1 11397 . . 3 class ⟨“𝐴”⟩
52cs1 11397 . . 3 class ⟨“𝐵”⟩
6 cconcat 11372 . . 3 class ++
74, 5, 6co 6085 . 2 class (⟨“𝐴”⟩ ++ ⟨“𝐵”⟩)
83, 7wceq 1402 1 wff ⟨“𝐴𝐵”⟩ = (⟨“𝐴”⟩ ++ ⟨“𝐵”⟩)
Colors of variables:    wff set class
This definition is used by:  cats2catd  11555  s2eqd  11556  s2cld  11564  s2fv0g  11573  s2fv1g  11574  s2leng  11575  s1s2d  11580  s2s2d  11586  s4s2d  11587  s2s5d  11590  s5s2d  11591  konigsberglem1  16827  konigsberglem2  16828  konigsberglem3  16829
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