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Definition df-lsw 13962
 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 13961 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3409 . . 3 class V
42cv 1537 . . . . . 6 class 𝑤
5 chash 13740 . . . . . 6 class
64, 5cfv 6335 . . . . 5 class (♯‘𝑤)
7 c1 10576 . . . . 5 class 1
8 cmin 10908 . . . . 5 class
96, 7, 8co 7150 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6335 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 5112 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1538 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
 Colors of variables: wff setvar class This definition is referenced by:  lsw  13963  sseqval  31874  sseqfv1  31875  sseqfn  31876  sseqf  31878  sseqfv2  31880
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