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Definition df-lsw 13624
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 13623 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3415 . . 3 class V
42cv 1657 . . . . . 6 class 𝑤
5 chash 13411 . . . . . 6 class
64, 5cfv 6124 . . . . 5 class (♯‘𝑤)
7 c1 10254 . . . . 5 class 1
8 cmin 10586 . . . . 5 class
96, 7, 8co 6906 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6124 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 4953 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1658 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  13625  sseqval  30997  sseqfv1  30998  sseqfn  30999  sseqf  31001  sseqfv2  31003
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