Metamath Proof Explorer


Theorem bj-vtocl

Description: Remove dependency on ax-ext , df-clab and df-cleq (and df-sb and df-v ) from vtocl . (Contributed by BJ, 6-Oct-2019) (Proof modification is discouraged.)

Ref Expression
Hypotheses bj-vtocl.s
|- A e. V
bj-vtocl.maj
|- ( x = A -> ( ph <-> ps ) )
bj-vtocl.min
|- ph
Assertion bj-vtocl
|- ps

Proof

Step Hyp Ref Expression
1 bj-vtocl.s
 |-  A e. V
2 bj-vtocl.maj
 |-  ( x = A -> ( ph <-> ps ) )
3 bj-vtocl.min
 |-  ph
4 nfv
 |-  F/ x ps
5 4 1 2 3 bj-vtoclf
 |-  ps