Metamath Proof Explorer


Theorem csbconstg

Description: Substitution doesn't affect a constant B (in which x does not occur). csbconstgf with distinct variable requirement. (Contributed by Alan Sare, 22-Jul-2012)

Ref Expression
Assertion csbconstg
|- ( A e. V -> [_ A / x ]_ B = B )

Proof

Step Hyp Ref Expression
1 nfcv
 |-  F/_ x B
2 1 csbconstgf
 |-  ( A e. V -> [_ A / x ]_ B = B )