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Mirrors > Home > ILE Home > Th. List > nexr | GIF version |
Description: Inference from 19.8a 1482. (Contributed by Jeff Hankins, 26-Jul-2009.) |
Ref | Expression |
---|---|
nexr.1 | ⊢ ¬ ∃𝑥𝜑 |
Ref | Expression |
---|---|
nexr | ⊢ ¬ 𝜑 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nexr.1 | . 2 ⊢ ¬ ∃𝑥𝜑 | |
2 | 19.8a 1482 | . 2 ⊢ (𝜑 → ∃𝑥𝜑) | |
3 | 1, 2 | mto 588 | 1 ⊢ ¬ 𝜑 |
Colors of variables: wff set class |
Syntax hints: ¬ wn 3 ∃wex 1381 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in1 544 ax-in2 545 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-4 1400 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: (None) |
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