This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
Description: If a wff is true, it is true for at least one instance. Deduction form
of 19.8a . (Contributed by DAW, 13-Feb-2017)
|
|
Ref |
Expression |
|
Hypothesis |
19.8ad.1 |
⊢ ( 𝜑 → 𝜓 ) |
|
Assertion |
19.8ad |
⊢ ( 𝜑 → ∃ 𝑥 𝜓 ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
19.8ad.1 |
⊢ ( 𝜑 → 𝜓 ) |
| 2 |
|
19.8a |
⊢ ( 𝜓 → ∃ 𝑥 𝜓 ) |
| 3 |
1 2
|
syl |
⊢ ( 𝜑 → ∃ 𝑥 𝜓 ) |