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

Definition df-s5 11553
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 11546 . 2  class  <" A B C D E ">
71, 2, 3, 4cs4 11545 . . 3  class  <" A B C D ">
85cs1 11405 . . 3  class  <" E ">
9 cconcat 11380 . . 3  class ++
107, 8, 9co 6088 . 2  class  ( <" A B C D "> ++  <" E "> )
116, 10wceq 1402 1  wff  <" A B C D E ">  =  ( <" A B C D "> ++  <" E "> )
Colors of variables:    wff set class
This definition is used by:  s5eqd  11567  s5cld  11575  s1s4d  11590  s1s5d  11591  s4s2d  11595  s5s2d  11599  konigsberglem1  16934  konigsberglem2  16935  konigsberglem3  16936
  Copyright terms: Public domain W3C validator