Description: Define a function mapping expressions to statements. (Contributed by Mario Carneiro, 14-Jul-2016)
| Ref | Expression | ||
|---|---|---|---|
| Assertion | df-m0s | ⊢ m0St = ( 𝑎 ∈ V ↦ 〈 ∅ , ∅ , 𝑎 〉 ) | 
| Step | Hyp | Ref | Expression | 
|---|---|---|---|
| 0 | cm0s | ⊢ m0St | |
| 1 | va | ⊢ 𝑎 | |
| 2 | cvv | ⊢ V | |
| 3 | c0 | ⊢ ∅ | |
| 4 | 1 | cv | ⊢ 𝑎 | 
| 5 | 3 3 4 | cotp | ⊢ 〈 ∅ , ∅ , 𝑎 〉 | 
| 6 | 1 2 5 | cmpt | ⊢ ( 𝑎 ∈ V ↦ 〈 ∅ , ∅ , 𝑎 〉 ) | 
| 7 | 0 6 | wceq | ⊢ m0St = ( 𝑎 ∈ V ↦ 〈 ∅ , ∅ , 𝑎 〉 ) |