Definition df-mdv 33350

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

Step	Hyp	Ref	Expression
1		cmdv 33330	. 2 class mDV
2		vt	. . 3 setvar 𝑡
3		cvv 3422	. . 3 class V
4	2	cv 1538	. . . . . 6 class 𝑡
5		cmvar 33323	. . . . . 6 class mVR
6	4, 5	cfv 6418	. . . . 5 class (mVR‘𝑡)
7	6, 6	cxp 5578	. . . 4 class ((mVR‘𝑡) × (mVR‘𝑡))
8		cid 5479	. . . 4 class I
9	7, 8	cdif 3880	. . 3 class (((mVR‘𝑡) × (mVR‘𝑡)) ∖ I )
10	2, 3, 9	cmpt 5153	. 2 class (𝑡 ∈ V ↦ (((mVR‘𝑡) × (mVR‘𝑡)) ∖ I ))
11	1, 10	wceq 1539	1 wff mDV = (𝑡 ∈ V ↦ (((mVR‘𝑡) × (mVR‘𝑡)) ∖ I ))

This definition is referenced by:  mdvval  33366