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Definition df-lsw 13905
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 13904 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3495 . . 3 class V
42cv 1527 . . . . . 6 class 𝑤
5 chash 13680 . . . . . 6 class
64, 5cfv 6349 . . . . 5 class (♯‘𝑤)
7 c1 10527 . . . . 5 class 1
8 cmin 10859 . . . . 5 class
96, 7, 8co 7145 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6349 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 5138 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1528 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  13906  sseqval  31546  sseqfv1  31547  sseqfn  31548  sseqf  31550  sseqfv2  31552
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