Description: A complete simple graph is a simple graph. (Contributed by Alexander van der Vekens, 13-Oct-2017) (Revised by AV, 1-Nov-2020)
Ref | Expression | ||
---|---|---|---|
Assertion | cusgrusgr | ⊢ ( 𝐺 ∈ ComplUSGraph → 𝐺 ∈ USGraph ) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | iscusgr | ⊢ ( 𝐺 ∈ ComplUSGraph ↔ ( 𝐺 ∈ USGraph ∧ 𝐺 ∈ ComplGraph ) ) | |
2 | 1 | simplbi | ⊢ ( 𝐺 ∈ ComplUSGraph → 𝐺 ∈ USGraph ) |