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| Mirrors > Home > MPE Home > Th. List > elun2 | Structured version Visualization version GIF version | ||
| Description: Membership law for union of classes. (Contributed by NM, 30-Aug-1993.) |
| Ref | Expression |
|---|---|
| elun2 | ⊢ (𝐴 ∈ 𝐵 → 𝐴 ∈ (𝐶 ∪ 𝐵)) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | ssun2 4179 | . 2 ⊢ 𝐵 ⊆ (𝐶 ∪ 𝐵) | |
| 2 | 1 | sseli 3979 | 1 ⊢ (𝐴 ∈ 𝐵 → 𝐴 ∈ (𝐶 ∪ 𝐵)) |
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