ILE Home Intuitionistic Logic Explorer < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  ILE Home  >  Th. List  >  df-s5 Unicode version

Definition df-s5 11476
Description: Define the length 5 word constructor. (Contributed by Mario Carneiro, 26-Feb-2016.)
Assertion
Ref Expression
df-s5  |-  <" A B C D E ">  =  ( <" A B C D "> ++  <" E "> )

Detailed syntax breakdown of Definition df-s5
StepHypRef Expression
1 cA . . 3  class  A
2 cB . . 3  class  B
3 cC . . 3  class  C
4 cD . . 3  class  D
5 cE . . 3  class  E
61, 2, 3, 4, 5cs5 11469 . 2  class  <" A B C D E ">
71, 2, 3, 4cs4 11468 . . 3  class  <" A B C D ">
85cs1 11328 . . 3  class  <" E ">
9 cconcat 11303 . . 3  class ++
107, 8, 9co 6058 . 2  class  ( <" A B C D "> ++  <" E "> )
116, 10wceq 1398 1  wff  <" A B C D E ">  =  ( <" A B C D "> ++  <" E "> )
Colors of variables: wff set class
This definition is referenced by:  s5eqd  11490  s5cld  11498  s1s4d  11513  s1s5d  11514  s4s2d  11518  s5s2d  11522  konigsberglem1  16609  konigsberglem2  16610  konigsberglem3  16611
  Copyright terms: Public domain W3C validator