Definition df-gdlop2

Description: Define the second Gödel operation. This function takes two arguments and returns the intersection of the first argument with the membership relation (see df-in and df-eprel ). The second argument is ignored. Based on the second case of Definition 14.2 of TakeutiZaring p. 144. (Contributed by BTernaryTau, 2-Sep-2026)

	Ref	Expression
Assertion	df-gdlop2	Could not format assertion : No typesetting found for |- ~F2 = ( x e. _V , y e. _V |-> ( x i^i _E ) ) with typecode |-

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		cgdlop2	Could not format ~F2 : No typesetting found for class ~F2 with typecode class
1		vx	$$setvarx$$
2		cvv	$$class\mathrm{V}$$
3		vy	$$setvary$$
4	1	cv	$$setvarx$$
5		cep	$$class\mathrm{E}$$
6	4 5	cin	$$class\left(x\cap \mathrm{E}\right)$$
7	1 3 2 2 6	cmpo	$$class\left(x\in \mathrm{V},y\in \mathrm{V}⟼x\cap \mathrm{E}\right)$$
8	0 7	wceq	Could not format ~F2 = ( x e. _V , y e. _V |-> ( x i^i _E ) ) : No typesetting found for wff ~F2 = ( x e. _V , y e. _V |-> ( x i^i _E ) ) with typecode wff