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Definition df-mthm 34157
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 34137 . 2 class mThm
2 vt . . 3 setvar 𝑡
3 cvv 3447 . . 3 class V
42cv 1541 . . . . . 6 class 𝑡
5 cmsr 34132 . . . . . 6 class mStRed
64, 5cfv 6500 . . . . 5 class (mStRed‘𝑡)
76ccnv 5636 . . . 4 class (mStRed‘𝑡)
8 cmpps 34136 . . . . . 6 class mPPSt
94, 8cfv 6500 . . . . 5 class (mPPSt‘𝑡)
106, 9cima 5640 . . . 4 class ((mStRed‘𝑡) “ (mPPSt‘𝑡))
117, 10cima 5640 . . 3 class ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡)))
122, 3, 11cmpt 5192 . 2 class (𝑡 ∈ V ↦ ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))
131, 12wceq 1542 1 wff mThm = (𝑡 ∈ V ↦ ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))
Colors of variables: wff setvar class
This definition is referenced by:  mthmval  34233
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