Definition df-mthm 30650

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

Assertion

Ref	Expression
df-mthm	⊢ mThm = (𝑡 ∈ V ↦ (◡(mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))

Detailed syntax breakdown of Definition df-mthm

Step	Hyp	Ref	Expression
1		cmthm 30630	. 2 class mThm
2		vt	. . 3 setvar 𝑡
3		cvv 3173	. . 3 class V
4	2	cv 1474	. . . . . 6 class 𝑡
5		cmsr 30625	. . . . . 6 class mStRed
6	4, 5	cfv 5804	. . . . 5 class (mStRed‘𝑡)
7	6	ccnv 5037	. . . 4 class ◡(mStRed‘𝑡)
8		cmpps 30629	. . . . . 6 class mPPSt
9	4, 8	cfv 5804	. . . . 5 class (mPPSt‘𝑡)
10	6, 9	cima 5041	. . . 4 class ((mStRed‘𝑡) “ (mPPSt‘𝑡))
11	7, 10	cima 5041	. . 3 class (◡(mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡)))
12	2, 3, 11	cmpt 4643	. 2 class (𝑡 ∈ V ↦ (◡(mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))
13	1, 12	wceq 1475	1 wff mThm = (𝑡 ∈ V ↦ (◡(mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))

This definition is referenced by:  mthmval  30726