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Definition df-lsw 13098
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 ∈ V ↦ (𝑤‘((#‘𝑤) − 1)))

Detailed syntax breakdown of Definition df-lsw
StepHypRef Expression
1 clsw 13090 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3169 . . 3 class V
42cv 1473 . . . . . 6 class 𝑤
5 chash 12931 . . . . . 6 class #
64, 5cfv 5787 . . . . 5 class (#‘𝑤)
7 c1 9790 . . . . 5 class 1
8 cmin 10114 . . . . 5 class
96, 7, 8co 6524 . . . 4 class ((#‘𝑤) − 1)
109, 4cfv 5787 . . 3 class (𝑤‘((#‘𝑤) − 1))
112, 3, 10cmpt 4634 . 2 class (𝑤 ∈ V ↦ (𝑤‘((#‘𝑤) − 1)))
121, 11wceq 1474 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((#‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  13147  sseqval  29580  sseqfv1  29581  sseqfn  29582  sseqf  29584  sseqfv2  29586
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