Definition df-gdlop1

Description: Define the first Gödel operation. This function takes two arguments and returns the unordered pair containing both (see df-pr ). Based on the first case of Definition 14.2 of TakeutiZaring p. 144. (Contributed by BTernaryTau, 2-Sep-2026)

	Ref	Expression
Assertion	df-gdlop1	⊢ ℱ1 = ( 𝑥 ∈ V , 𝑦 ∈ V ↦ { 𝑥 , 𝑦 } )

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cgdlop1	⊢ ℱ1
1		vx	⊢ 𝑥
2		cvv	⊢ V
3		vy	⊢ 𝑦
4	1	cv	⊢ 𝑥
5	3	cv	⊢ 𝑦
6	4 5	cpr	⊢ { 𝑥 , 𝑦 }
7	1 3 2 2 6	cmpo	⊢ ( 𝑥 ∈ V , 𝑦 ∈ V ↦ { 𝑥 , 𝑦 } )
8	0 7	wceq	⊢ ℱ1 = ( 𝑥 ∈ V , 𝑦 ∈ V ↦ { 𝑥 , 𝑦 } )