Metamath Proof Explorer


Theorem tpid2g

Description: Closed theorem form of tpid2 . (Contributed by Glauco Siliprandi, 23-Oct-2021)

Ref Expression
Assertion tpid2g ABACAD

Proof

Step Hyp Ref Expression
1 eqid A=A
2 1 3mix2i A=CA=AA=D
3 eltpg ABACADA=CA=AA=D
4 2 3 mpbiri ABACAD