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Definition df-lsw 13907
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 13906 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3493 . . 3 class V
42cv 1529 . . . . . 6 class 𝑤
5 chash 13682 . . . . . 6 class
64, 5cfv 6348 . . . . 5 class (♯‘𝑤)
7 c1 10530 . . . . 5 class 1
8 cmin 10862 . . . . 5 class
96, 7, 8co 7148 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6348 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 5137 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1530 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  13908  sseqval  31634  sseqfv1  31635  sseqfn  31636  sseqf  31638  sseqfv2  31640
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