Theorem rphalfltd

Description: Half of a positive real is less than the original number. (Contributed by Glauco Siliprandi, 2-Jan-2022)

	Ref	Expression
Hypothesis	rphalfltd.1	|- ( ph -> A e. RR+ )
Assertion	rphalfltd	|- ( ph -> ( A / 2 ) < A )

Proof

Step	Hyp	Ref	Expression
1		rphalfltd.1	|- ( ph -> A e. RR+ )
2		rphalflt	|- ( A e. RR+ -> ( A / 2 ) < A )
3	1 2	syl	|- ( ph -> ( A / 2 ) < A )