Metamath Proof Explorer


Definition df-base

Description: Define the base set (also called underlying set, ground set, carrier set, or carrier) extractor for extensible structures. (Contributed by NM, 4-Sep-2011) (Revised by Mario Carneiro, 14-Aug-2015) Use its index-independent form baseid instead. (New usage is discouraged.)

Ref Expression
Assertion df-base
|- Base = Slot 1

Detailed syntax breakdown

Step Hyp Ref Expression
0 cbs
 |-  Base
1 c1
 |-  1
2 1 cslot
 |-  Slot 1
3 0 2 wceq
 |-  Base = Slot 1