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Definition df-evpm 17684
Description: Define the set of even permutations on a given set. (Contributed by Stefan O'Rear, 9-Jul-2018.)
Assertion
Ref Expression
df-evpm pmEven = (𝑑 ∈ V ↦ ((pmSgn‘𝑑) “ {1}))

Detailed syntax breakdown of Definition df-evpm
StepHypRef Expression
1 cevpm 17682 . 2 class pmEven
2 vd . . 3 setvar 𝑑
3 cvv 3173 . . 3 class V
42cv 1474 . . . . . 6 class 𝑑
5 cpsgn 17681 . . . . . 6 class pmSgn
64, 5cfv 5790 . . . . 5 class (pmSgn‘𝑑)
76ccnv 5027 . . . 4 class (pmSgn‘𝑑)
8 c1 9794 . . . . 5 class 1
98csn 4125 . . . 4 class {1}
107, 9cima 5031 . . 3 class ((pmSgn‘𝑑) “ {1})
112, 3, 10cmpt 4638 . 2 class (𝑑 ∈ V ↦ ((pmSgn‘𝑑) “ {1}))
121, 11wceq 1475 1 wff pmEven = (𝑑 ∈ V ↦ ((pmSgn‘𝑑) “ {1}))
Colors of variables: wff setvar class
This definition is referenced by:  evpmss  19699  psgnevpmb  19700
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