Metamath Proof Explorer


Theorem ssidd

Description: Weakening of ssid . (Contributed by BJ, 1-Sep-2022)

Ref Expression
Assertion ssidd
|- ( ph -> A C_ A )

Proof

Step Hyp Ref Expression
1 ssid
 |-  A C_ A
2 1 a1i
 |-  ( ph -> A C_ A )