Definition df-mvt 34471

Description: Define the set of variable typecodes in a Metamath formal system. (Contributed by Mario Carneiro, 14-Jul-2016.)

Assertion

Ref	Expression
df-mvt	⊢ mVT = (𝑡 ∈ V ↦ ran (mType‘𝑡))

Detailed syntax breakdown of Definition df-mvt

Step	Hyp	Ref	Expression
1		cmvt 34449	. 2 class mVT
2		vt	. . 3 setvar 𝑡
3		cvv 3474	. . 3 class V
4	2	cv 1540	. . . . 5 class 𝑡
5		cmty 34448	. . . . 5 class mType
6	4, 5	cfv 6543	. . . 4 class (mType‘𝑡)
7	6	crn 5677	. . 3 class ran (mType‘𝑡)
8	2, 3, 7	cmpt 5231	. 2 class (𝑡 ∈ V ↦ ran (mType‘𝑡))
9	1, 8	wceq 1541	1 wff mVT = (𝑡 ∈ V ↦ ran (mType‘𝑡))

This definition is referenced by:  mvtval  34486