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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
StepHypRef Expression
1 cmthm 30630 . 2 class mThm
2 vt . . 3 setvar 𝑡
3 cvv 3173 . . 3 class V
42cv 1474 . . . . . 6 class 𝑡
5 cmsr 30625 . . . . . 6 class mStRed
64, 5cfv 5804 . . . . 5 class (mStRed‘𝑡)
76ccnv 5037 . . . 4 class (mStRed‘𝑡)
8 cmpps 30629 . . . . . 6 class mPPSt
94, 8cfv 5804 . . . . 5 class (mPPSt‘𝑡)
106, 9cima 5041 . . . 4 class ((mStRed‘𝑡) “ (mPPSt‘𝑡))
117, 10cima 5041 . . 3 class ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡)))
122, 3, 11cmpt 4643 . 2 class (𝑡 ∈ V ↦ ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))
131, 12wceq 1475 1 wff mThm = (𝑡 ∈ V ↦ ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))
 Colors of variables: wff setvar class This definition is referenced by:  mthmval  30726
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