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 〉 ) |