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Definition df-fmtno 42020
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 42019 . 2 class FermatNo
2 vn . . 3 setvar 𝑛
3 cn0 11566 . . 3 class 0
4 c2 11363 . . . . 5 class 2
52cv 1636 . . . . . 6 class 𝑛
6 cexp 13090 . . . . . 6 class
74, 5, 6co 6881 . . . . 5 class (2↑𝑛)
84, 7, 6co 6881 . . . 4 class (2↑(2↑𝑛))
9 c1 10229 . . . 4 class 1
10 caddc 10231 . . . 4 class +
118, 9, 10co 6881 . . 3 class ((2↑(2↑𝑛)) + 1)
122, 3, 11cmpt 4934 . 2 class (𝑛 ∈ ℕ0 ↦ ((2↑(2↑𝑛)) + 1))
131, 12wceq 1637 1 wff FermatNo = (𝑛 ∈ ℕ0 ↦ ((2↑(2↑𝑛)) + 1))
Colors of variables: wff setvar class
This definition is referenced by:  fmtno  42021  fmtnorn  42026  fmtnof1  42027  fmtnodvds  42036
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