Metamath Proof Explorer


Theorem entr2i

Description: A chained equinumerosity inference. (Contributed by NM, 25-Sep-2004)

Ref Expression
Hypotheses entr2i.1 A B
entr2i.2 B C
Assertion entr2i C A

Proof

Step Hyp Ref Expression
1 entr2i.1 A B
2 entr2i.2 B C
3 1 2 entri A C
4 3 ensymi C A