Description: A set is an element of any sigma-algebra on it . (Contributed by Glauco Siliprandi, 26-Jun-2021)
Ref | Expression | ||
---|---|---|---|
Hypothesis | salunid.1 | ⊢ ( 𝜑 → 𝑆 ∈ SAlg ) | |
Assertion | salunid | ⊢ ( 𝜑 → ∪ 𝑆 ∈ 𝑆 ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | salunid.1 | ⊢ ( 𝜑 → 𝑆 ∈ SAlg ) | |
2 | saluni | ⊢ ( 𝑆 ∈ SAlg → ∪ 𝑆 ∈ 𝑆 ) | |
3 | 1 2 | syl | ⊢ ( 𝜑 → ∪ 𝑆 ∈ 𝑆 ) |