This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.

Metamath Proof Explorer

Axiom ax-hilex

Description: This is our first axiom for a complex Hilbert space, which is the foundation for quantum mechanics and quantum field theory. We assume that there exists a primitive class, ~H , which contains objects called vectors. (Contributed by NM, 16-Aug-1999) (New usage is discouraged.)

		Ref	Expression
	Assertion	ax-hilex	⊢ ℋ ∈ V

Detailed syntax breakdown

Step	Hyp	Ref	Expression
0		chba	⊢ ℋ
1		cvv	⊢ V
2	0 1	wcel	⊢ ℋ ∈ V