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Definition df-lsw 14601
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 14600 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3480 . . 3 class V
42cv 1539 . . . . . 6 class 𝑤
5 chash 14369 . . . . . 6 class
64, 5cfv 6561 . . . . 5 class (♯‘𝑤)
7 c1 11156 . . . . 5 class 1
8 cmin 11492 . . . . 5 class
96, 7, 8co 7431 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6561 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 5225 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1540 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  14602  sseqval  34390  sseqfv1  34391  sseqfn  34392  sseqf  34394  sseqfv2  34396
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