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Definition df-cntr 17957
Description: Define the center of a magma, which is the elements that commute with all others. (Contributed by Stefan O'Rear, 5-Sep-2015.)
Assertion
Ref Expression
df-cntr Cntr = (𝑚 ∈ V ↦ ((Cntz‘𝑚)‘(Base‘𝑚)))

Detailed syntax breakdown of Definition df-cntr
StepHypRef Expression
1 ccntr 17955 . 2 class Cntr
2 vm . . 3 setvar 𝑚
3 cvv 3349 . . 3 class V
42cv 1629 . . . . 5 class 𝑚
5 cbs 16063 . . . . 5 class Base
64, 5cfv 6031 . . . 4 class (Base‘𝑚)
7 ccntz 17954 . . . . 5 class Cntz
84, 7cfv 6031 . . . 4 class (Cntz‘𝑚)
96, 8cfv 6031 . . 3 class ((Cntz‘𝑚)‘(Base‘𝑚))
102, 3, 9cmpt 4861 . 2 class (𝑚 ∈ V ↦ ((Cntz‘𝑚)‘(Base‘𝑚)))
111, 10wceq 1630 1 wff Cntr = (𝑚 ∈ V ↦ ((Cntz‘𝑚)‘(Base‘𝑚)))
Colors of variables: wff setvar class
This definition is referenced by:  cntrval  17958
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