Metamath Proof Explorer


Definition df-gona

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)

Ref Expression
Assertion df-gona 𝑔 = ( 𝑥 ∈ ( V × V ) ↦ ⟨ 1o , 𝑥 ⟩ )

Detailed syntax breakdown

Step Hyp Ref Expression
0 cgna 𝑔
1 vx 𝑥
2 cvv V
3 2 2 cxp ( V × V )
4 c1o 1o
5 1 cv 𝑥
6 4 5 cop ⟨ 1o , 𝑥
7 1 3 6 cmpt ( 𝑥 ∈ ( V × V ) ↦ ⟨ 1o , 𝑥 ⟩ )
8 0 7 wceq 𝑔 = ( 𝑥 ∈ ( V × V ) ↦ ⟨ 1o , 𝑥 ⟩ )