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Mirrors > Home > ILE Home > Th. List > 19.2 | GIF version |
Description: Theorem 19.2 of [Margaris] p. 89, generalized to use two setvar variables. (Contributed by O'Cat, 31-Mar-2008.) |
Ref | Expression |
---|---|
19.2 | ⊢ (∀𝑥𝜑 → ∃𝑦𝜑) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 19.8a 1522 | . 2 ⊢ (𝜑 → ∃𝑦𝜑) | |
2 | 1 | sps 1470 | 1 ⊢ (∀𝑥𝜑 → ∃𝑦𝜑) |
Colors of variables: wff set class |
Syntax hints: → wi 4 ∀wal 1282 ∃wex 1421 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-4 1440 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: i19.24 1570 i19.39 1571 19.34 1614 eusv2i 4205 |
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