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Definition df-lsw 13531
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 13523 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3402 . . 3 class V
42cv 1636 . . . . . 6 class 𝑤
5 chash 13357 . . . . . 6 class
64, 5cfv 6111 . . . . 5 class (♯‘𝑤)
7 c1 10232 . . . . 5 class 1
8 cmin 10561 . . . . 5 class
96, 7, 8co 6884 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6111 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 4934 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1637 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  13583  sseqval  30798  sseqfv1  30799  sseqfn  30800  sseqf  30802  sseqfv2  30804
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