Metamath Proof Explorer


Definition df-msta

Description: Define the set of all statements. (Contributed by Mario Carneiro, 14-Jul-2016)

Ref Expression
Assertion df-msta ⊢ mStat = t ∈ V ⟼ ran ⁡ mStRed ⁡ t

Detailed syntax breakdown

Step Hyp Ref Expression
0 cmsta class mStat
1 vt setvar t
2 cvv class V
3 cmsr class mStRed
4 1 cv setvar t
5 4 3 cfv class mStRed ⁡ t
6 5 crn class ran ⁡ mStRed ⁡ t
7 1 2 6 cmpt class t ∈ V ⟼ ran ⁡ mStRed ⁡ t
8 0 7 wceq wff mStat = t ∈ V ⟼ ran ⁡ mStRed ⁡ t