Mathbox for Alexander van der Vekens < Previous   Next > Nearby theorems Mirrors  >  Home  >  MPE Home  >  Th. List  >   Mathboxes  >  df-fmtno Structured version   Visualization version   GIF version

Definition df-fmtno 41765
 Description: Define the function that enumerates the Fermat numbers, see definition in [ApostolNT] p. 7. (Contributed by AV, 13-Jun-2021.)
Assertion
Ref Expression
df-fmtno FermatNo = (𝑛 ∈ ℕ0 ↦ ((2↑(2↑𝑛)) + 1))

Detailed syntax breakdown of Definition df-fmtno
StepHypRef Expression
1 cfmtno 41764 . 2 class FermatNo
2 vn . . 3 setvar 𝑛
3 cn0 11330 . . 3 class 0
4 c2 11108 . . . . 5 class 2
52cv 1522 . . . . . 6 class 𝑛
6 cexp 12900 . . . . . 6 class
74, 5, 6co 6690 . . . . 5 class (2↑𝑛)
84, 7, 6co 6690 . . . 4 class (2↑(2↑𝑛))
9 c1 9975 . . . 4 class 1
10 caddc 9977 . . . 4 class +
118, 9, 10co 6690 . . 3 class ((2↑(2↑𝑛)) + 1)
122, 3, 11cmpt 4762 . 2 class (𝑛 ∈ ℕ0 ↦ ((2↑(2↑𝑛)) + 1))
131, 12wceq 1523 1 wff FermatNo = (𝑛 ∈ ℕ0 ↦ ((2↑(2↑𝑛)) + 1))
 Colors of variables: wff setvar class This definition is referenced by:  fmtno  41766  fmtnorn  41771  fmtnof1  41772  fmtnodvds  41781
 Copyright terms: Public domain W3C validator