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Definition df-lsw 14510
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 14509 . 2 class lastS
2 vw . . 3 setvar 𝑤
3 cvv 3475 . . 3 class V
42cv 1541 . . . . . 6 class 𝑤
5 chash 14287 . . . . . 6 class
64, 5cfv 6541 . . . . 5 class (♯‘𝑤)
7 c1 11108 . . . . 5 class 1
8 cmin 11441 . . . . 5 class
96, 7, 8co 7406 . . . 4 class ((♯‘𝑤) − 1)
109, 4cfv 6541 . . 3 class (𝑤‘((♯‘𝑤) − 1))
112, 3, 10cmpt 5231 . 2 class (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
121, 11wceq 1542 1 wff lastS = (𝑤 ∈ V ↦ (𝑤‘((♯‘𝑤) − 1)))
Colors of variables: wff setvar class
This definition is referenced by:  lsw  14511  sseqval  33376  sseqfv1  33377  sseqfn  33378  sseqf  33380  sseqfv2  33382
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