Metamath Proof Explorer


Theorem remul2d

Description: Real part of a product. (Contributed by Mario Carneiro, 29-May-2016)

Ref Expression
Hypotheses crred.1 φ A
remul2d.2 φ B
Assertion remul2d φ A B = A B

Proof

Step Hyp Ref Expression
1 crred.1 φ A
2 remul2d.2 φ B
3 remul2 A B A B = A B
4 1 2 3 syl2anc φ A B = A B