MPE Home Metamath Proof Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >  df-s4 Unicode version

Definition df-s4 11500
Description: Define the length 4 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)
Assertion
Ref Expression
df-s4  |-  <" A B C D ">  =  ( <" A B C "> concat  <" D "> )

Detailed syntax breakdown of Definition df-s4
StepHypRef Expression
1 cA . . 3  class  A
2 cB . . 3  class  B
3 cC . . 3  class  C
4 cD . . 3  class  D
51, 2, 3, 4cs4 11493 . 2  class  <" A B C D ">
61, 2, 3cs3 11492 . . 3  class  <" A B C ">
74cs1 11405 . . 3  class  <" D ">
8 cconcat 11404 . . 3  class concat
96, 7, 8co 5858 . 2  class  ( <" A B C "> concat  <" D "> )
105, 9wceq 1623 1  wff  <" A B C D ">  =  ( <" A B C "> concat  <" D "> )
Colors of variables: wff set class
This definition is referenced by:  s4eqd  11514  s4cld  11521  s4cli  11530  s4len  11542  s1s3  11551  s1s4  11552  s2s2  11556  s4s4  11559  konigsberg  23911  s4prop  28090
  Copyright terms: Public domain W3C validator