Metamath Proof Explorer

Theorem releabsd

Description: The real part of a number is less than or equal to its absolute value. Proposition 10-3.7(d) of Gleason p. 133. (Contributed by Mario Carneiro, 29-May-2016)

Ref Expression
Hypothesis abscld.1 φ A
Assertion releabsd φ A A


Step Hyp Ref Expression
1 abscld.1 φ A
2 releabs A A A
3 1 2 syl φ A A