Metamath Proof Explorer


Theorem baseval

Description: Value of the base set extractor. (Normally it is preferred to work with ( Basendx ) rather than the hard-coded 1 in order to make structure theorems portable. This is an example of how to obtain it when needed.) (New usage is discouraged.) (Contributed by NM, 4-Sep-2011)

Ref Expression
Hypothesis baseval.k
|- K e. _V
Assertion baseval
|- ( Base ` K ) = ( K ` 1 )

Proof

Step Hyp Ref Expression
1 baseval.k
 |-  K e. _V
2 df-base
 |-  Base = Slot 1
3 1 2 strfvn
 |-  ( Base ` K ) = ( K ` 1 )