Theorem refldivcl

Description: The floor function of a division of a real number by a positive real number is a real number. (Contributed by Alexander van der Vekens, 14-Apr-2018)

	Ref	Expression
Assertion	refldivcl	|- ( ( K e. RR /\ L e. RR+ ) -> ( |_ ` ( K / L ) ) e. RR )

Proof

Step	Hyp	Ref	Expression
1		rerpdivcl	|- ( ( K e. RR /\ L e. RR+ ) -> ( K / L ) e. RR )
2		reflcl	|- ( ( K / L ) e. RR -> ( |_ ` ( K / L ) ) e. RR )
3	1 2	syl	|- ( ( K e. RR /\ L e. RR+ ) -> ( |_ ` ( K / L ) ) e. RR )