Definition df-gona 34630

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

Step	Hyp	Ref	Expression
1		cgna 34623	. 2 class ⊼𝑔
2		vx	. . 3 setvar 𝑥
3		cvv 3472	. . . 4 class V
4	3, 3	cxp 5673	. . 3 class (V × V)
5		c1o 8461	. . . 4 class 1o
6	2	cv 1538	. . . 4 class 𝑥
7	5, 6	cop 4633	. . 3 class ⟨1o, 𝑥⟩
8	2, 4, 7	cmpt 5230	. 2 class (𝑥 ∈ (V × V) ↦ ⟨1o, 𝑥⟩)
9	1, 8	wceq 1539	1 wff ⊼𝑔 = (𝑥 ∈ (V × V) ↦ ⟨1o, 𝑥⟩)

This definition is referenced by:  gonafv  34639  sat1el2xp  34668  gonan0  34681