Description: An element of a made set is a surreal. (Contributed by Scott Fenton, 27-Feb-2026)
| Ref | Expression | ||
|---|---|---|---|
| Hypothesis | madenod.1 | ⊢ ( 𝜑 → 𝐴 ∈ ( M ‘ 𝐵 ) ) | |
| Assertion | madenod | ⊢ ( 𝜑 → 𝐴 ∈ No ) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | madenod.1 | ⊢ ( 𝜑 → 𝐴 ∈ ( M ‘ 𝐵 ) ) | |
| 2 | madessno | ⊢ ( M ‘ 𝐵 ) ⊆ No | |
| 3 | 2 1 | sselid | ⊢ ( 𝜑 → 𝐴 ∈ No ) |