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Definition df-lsw 12592
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 12584 . 2  class lastS
2 vw . . 3  setvar  w
3 cvv 3059 . . 3  class  _V
42cv 1404 . . . . . 6  class  w
5 chash 12452 . . . . . 6  class  #
64, 5cfv 5569 . . . . 5  class  ( # `  w )
7 c1 9523 . . . . 5  class  1
8 cmin 9841 . . . . 5  class  -
96, 7, 8co 6278 . . . 4  class  ( (
# `  w )  -  1 )
109, 4cfv 5569 . . 3  class  ( w `
 ( ( # `  w )  -  1 ) )
112, 3, 10cmpt 4453 . 2  class  ( w  e.  _V  |->  ( w `
 ( ( # `  w )  -  1 ) ) )
121, 11wceq 1405 1  wff lastS  =  ( w  e.  _V  |->  ( w `  ( (
# `  w )  -  1 ) ) )
Colors of variables: wff setvar class
This definition is referenced by:  lsw  12638  sseqval  28833  sseqfv1  28834  sseqfn  28835  sseqf  28837  sseqfv2  28839
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