Theorem basendxltplusgndx

Description: The index of the slot for the base set is less then the index of the slot for the group operation in an extensible structure. (Contributed by AV, 17-Oct-2024)

	Ref	Expression
Assertion	basendxltplusgndx	⊢ ( Base ‘ ndx ) < ( +g ‘ ndx )

Proof

Step	Hyp	Ref	Expression
1		1lt2	⊢ 1 < 2
2		basendx	⊢ ( Base ‘ ndx ) = 1
3		plusgndx	⊢ ( +g ‘ ndx ) = 2
4	1 2 3	3brtr4i	⊢ ( Base ‘ ndx ) < ( +g ‘ ndx )