Theorem basendxlttsetndx

Description: The index of the slot for the base set is less then the index of the slot for the topology in an extensible structure. (Contributed by AV, 31-Oct-2024)

	Ref	Expression
Assertion	basendxlttsetndx	|- ( Base ` ndx ) < ( TopSet ` ndx )

Proof

Step	Hyp	Ref	Expression
1		1lt9	|- 1 < 9
2		basendx	|- ( Base ` ndx ) = 1
3		tsetndx	|- ( TopSet ` ndx ) = 9
4	1 2 3	3brtr4i	|- ( Base ` ndx ) < ( TopSet ` ndx )