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Mirrors > Home > MPE Home > Th. List > Mathboxes > df-gona | Structured version Visualization version GIF version |
Description: Define the Godel-set for the Sheffer stroke NAND. Here the arguments 𝑥 = 〈𝑈, 𝑉〉 are also Godel-sets corresponding to smaller formulas. (Contributed by Mario Carneiro, 14-Jul-2013.) |
Ref | Expression |
---|---|
df-gona | ⊢ ⊼𝑔 = (𝑥 ∈ (V × V) ↦ 〈1o, 𝑥〉) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cgna 32867 | . 2 class ⊼𝑔 | |
2 | vx | . . 3 setvar 𝑥 | |
3 | cvv 3398 | . . . 4 class V | |
4 | 3, 3 | cxp 5523 | . . 3 class (V × V) |
5 | c1o 8124 | . . . 4 class 1o | |
6 | 2 | cv 1541 | . . . 4 class 𝑥 |
7 | 5, 6 | cop 4522 | . . 3 class 〈1o, 𝑥〉 |
8 | 2, 4, 7 | cmpt 5110 | . 2 class (𝑥 ∈ (V × V) ↦ 〈1o, 𝑥〉) |
9 | 1, 8 | wceq 1542 | 1 wff ⊼𝑔 = (𝑥 ∈ (V × V) ↦ 〈1o, 𝑥〉) |
Colors of variables: wff setvar class |
This definition is referenced by: gonafv 32883 sat1el2xp 32912 gonan0 32925 |
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