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 e. Prob -> U. dom P e. dom P )

Proof

Step Hyp Ref Expression
1 id
 |-  ( P e. Prob -> P e. Prob )
2 1 unveldomd
 |-  ( P e. Prob -> U. dom P e. dom P )