Metamath Proof Explorer


Theorem recli

Description: The real part of a complex number is real (closure law). (Contributed by NM, 11-May-1999)

Ref Expression
Hypothesis recl.1 A
Assertion recli A

Proof

Step Hyp Ref Expression
1 recl.1 A
2 recl A A
3 1 2 ax-mp A