Metamath Proof Explorer

Theorem unveldom

Description: The universe is an element of the domain of the probability, the universe (entire probability space) being U. dom P in our construction. (Contributed by Thierry Arnoux, 22-Jan-2017)

		Ref	Expression
	Assertion	unveldom	$⊢ P \in Prob \to ⋃ dom P \in dom P$

Proof

Step	Hyp	Ref	Expression
1		id	$⊢ P \in Prob \to P \in Prob$
2	1	unveldomd	$⊢ P \in Prob \to ⋃ dom P \in dom P$