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Definition df-lsw 12712
Description: Extract the last symbol of a word. May be not meaningful for other sets which are not words. The name lastS (as abbreviation of "lastSymbol") is a compromise between usually used names for corresponding functions in computer programs (as last() or lastChar()), the terminology used for words in set.mm ("symbol" instead of "character") and brevity ("lastS" is shorter than "lastChar" and "lastSymbol"). Labels of theorems about last symbols of a word will contain the abbreviation "lsw" (Last Symbol of a Word). (Contributed by Alexander van der Vekens, 18-Mar-2018.)
Assertion
Ref Expression
df-lsw  |- lastS  =  ( w  e.  _V  |->  ( w `  ( (
# `  w )  -  1 ) ) )

Detailed syntax breakdown of Definition df-lsw
StepHypRef Expression
1 clsw 12704 . 2  class lastS
2 vw . . 3  setvar  w
3 cvv 3031 . . 3  class  _V
42cv 1451 . . . . . 6  class  w
5 chash 12553 . . . . . 6  class  #
64, 5cfv 5589 . . . . 5  class  ( # `  w )
7 c1 9558 . . . . 5  class  1
8 cmin 9880 . . . . 5  class  -
96, 7, 8co 6308 . . . 4  class  ( (
# `  w )  -  1 )
109, 4cfv 5589 . . 3  class  ( w `
 ( ( # `  w )  -  1 ) )
112, 3, 10cmpt 4454 . 2  class  ( w  e.  _V  |->  ( w `
 ( ( # `  w )  -  1 ) ) )
121, 11wceq 1452 1  wff lastS  =  ( w  e.  _V  |->  ( w `  ( (
# `  w )  -  1 ) ) )
Colors of variables: wff setvar class
This definition is referenced by:  lsw  12762  sseqval  29294  sseqfv1  29295  sseqfn  29296  sseqf  29298  sseqfv2  29300
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