Metamath Proof Explorer

Theorem prssd

Description: Deduction version of prssi : A pair of elements of a class is a subset of the class. (Contributed by Glauco Siliprandi, 17-Aug-2020)

Ref Expression
Hypotheses prssd.1 φ A C
prssd.2 φ B C
Assertion prssd φ A B C


Step Hyp Ref Expression
1 prssd.1 φ A C
2 prssd.2 φ B C
3 prssi A C B C A B C
4 1 2 3 syl2anc φ A B C