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Mirrors > Home > MPE Home > Th. List > elun1 | Structured version Visualization version GIF version |
Description: Membership law for union of classes. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
elun1 | ⊢ (𝐴 ∈ 𝐵 → 𝐴 ∈ (𝐵 ∪ 𝐶)) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssun1 4062 | . 2 ⊢ 𝐵 ⊆ (𝐵 ∪ 𝐶) | |
2 | 1 | sseli 3873 | 1 ⊢ (𝐴 ∈ 𝐵 → 𝐴 ∈ (𝐵 ∪ 𝐶)) |
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