Metamath Proof Explorer


Theorem cbviotavwOLD

Description: Obsolete version of cbviotavw as of 30-Sep-2024. (Contributed by Andrew Salmon, 1-Aug-2011) (Revised by Gino Giotto, 26-Jan-2024) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypothesis cbviotavwOLD.1
|- ( x = y -> ( ph <-> ps ) )
Assertion cbviotavwOLD
|- ( iota x ph ) = ( iota y ps )

Proof

Step Hyp Ref Expression
1 cbviotavwOLD.1
 |-  ( x = y -> ( ph <-> ps ) )
2 nfv
 |-  F/ y ph
3 nfv
 |-  F/ x ps
4 1 2 3 cbviotaw
 |-  ( iota x ph ) = ( iota y ps )