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Metamath Proof Explorer

Theorem ssidd

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

Ref Expression
Assertion ssidd ( 𝜑 → 𝐴 ⊆ 𝐴 )

Proof

Step Hyp Ref Expression
1 ssid ⊢ 𝐴 ⊆ 𝐴
2 1 a1i ⊢ ( 𝜑 → 𝐴 ⊆ 𝐴 )