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Definition df-mdv 33446
Description: Define the set of distinct variable conditions, which are pairs of distinct variables. (Contributed by Mario Carneiro, 14-Jul-2016.)
Assertion
Ref Expression
df-mdv mDV = (𝑡 ∈ V ↦ (((mVR‘𝑡) × (mVR‘𝑡)) ∖ I ))

Detailed syntax breakdown of Definition df-mdv
StepHypRef Expression
1 cmdv 33426 . 2 class mDV
2 vt . . 3 setvar 𝑡
3 cvv 3431 . . 3 class V
42cv 1541 . . . . . 6 class 𝑡
5 cmvar 33419 . . . . . 6 class mVR
64, 5cfv 6432 . . . . 5 class (mVR‘𝑡)
76, 6cxp 5588 . . . 4 class ((mVR‘𝑡) × (mVR‘𝑡))
8 cid 5489 . . . 4 class I
97, 8cdif 3889 . . 3 class (((mVR‘𝑡) × (mVR‘𝑡)) ∖ I )
102, 3, 9cmpt 5162 . 2 class (𝑡 ∈ V ↦ (((mVR‘𝑡) × (mVR‘𝑡)) ∖ I ))
111, 10wceq 1542 1 wff mDV = (𝑡 ∈ V ↦ (((mVR‘𝑡) × (mVR‘𝑡)) ∖ I ))
Colors of variables: wff setvar class
This definition is referenced by:  mdvval  33462
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