Users' Mathboxes Mathbox for Mario Carneiro < Previous   Next >
Nearby theorems
Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-mthm Structured version   Visualization version   GIF version

Definition df-mthm 32803
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 32783 . 2 class mThm
2 vt . . 3 setvar 𝑡
3 cvv 3480 . . 3 class V
42cv 1537 . . . . . 6 class 𝑡
5 cmsr 32778 . . . . . 6 class mStRed
64, 5cfv 6343 . . . . 5 class (mStRed‘𝑡)
76ccnv 5541 . . . 4 class (mStRed‘𝑡)
8 cmpps 32782 . . . . . 6 class mPPSt
94, 8cfv 6343 . . . . 5 class (mPPSt‘𝑡)
106, 9cima 5545 . . . 4 class ((mStRed‘𝑡) “ (mPPSt‘𝑡))
117, 10cima 5545 . . 3 class ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡)))
122, 3, 11cmpt 5132 . 2 class (𝑡 ∈ V ↦ ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))
131, 12wceq 1538 1 wff mThm = (𝑡 ∈ V ↦ ((mStRed‘𝑡) “ ((mStRed‘𝑡) “ (mPPSt‘𝑡))))
Colors of variables: wff setvar class
This definition is referenced by:  mthmval  32879
  Copyright terms: Public domain W3C validator