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Definition df-gona 33303
Description: Define the Godel-set for the Sheffer stroke NAND. Here the arguments 𝑥 = ⟨𝑈, 𝑉 are also Godel-sets corresponding to smaller formulas. (Contributed by Mario Carneiro, 14-Jul-2013.)
Assertion
Ref Expression
df-gona 𝑔 = (𝑥 ∈ (V × V) ↦ ⟨1o, 𝑥⟩)

Detailed syntax breakdown of Definition df-gona
StepHypRef Expression
1 cgna 33296 . 2 class 𝑔
2 vx . . 3 setvar 𝑥
3 cvv 3432 . . . 4 class V
43, 3cxp 5587 . . 3 class (V × V)
5 c1o 8290 . . . 4 class 1o
62cv 1538 . . . 4 class 𝑥
75, 6cop 4567 . . 3 class ⟨1o, 𝑥
82, 4, 7cmpt 5157 . 2 class (𝑥 ∈ (V × V) ↦ ⟨1o, 𝑥⟩)
91, 8wceq 1539 1 wff 𝑔 = (𝑥 ∈ (V × V) ↦ ⟨1o, 𝑥⟩)
Colors of variables: wff setvar class
This definition is referenced by:  gonafv  33312  sat1el2xp  33341  gonan0  33354
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