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Definition df-lsw 14566
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 14565 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3462 . . 3 class V
42cv 1533 . . . . . 6 class 𝑤
5 chash 14342 . . . . . 6 class
64, 5cfv 6546 . . . . 5 class (♯‘𝑤)
7 c1 11150 . . . . 5 class 1
8 cmin 11485 . . . . 5 class
96, 7, 8co 7416 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6546 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 5228 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1534 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  14567  sseqval  34235  sseqfv1  34236  sseqfn  34237  sseqf  34239  sseqfv2  34241
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