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Metamath Proof Explorer
Description: gen22 without virtual deductions. (Contributed by Alan Sare, 25-Jul-2011) (Proof modification is discouraged.)
(New usage is discouraged.)
|
|
Ref |
Expression |
|
Hypothesis |
ggen22.1 |
⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) ) |
|
Assertion |
ggen22 |
⊢ ( 𝜑 → ( 𝜓 → ∀ 𝑥 ∀ 𝑦 𝜒 ) ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
ggen22.1 |
⊢ ( 𝜑 → ( 𝜓 → 𝜒 ) ) |
| 2 |
1
|
alrimdv |
⊢ ( 𝜑 → ( 𝜓 → ∀ 𝑦 𝜒 ) ) |
| 3 |
2
|
alrimdv |
⊢ ( 𝜑 → ( 𝜓 → ∀ 𝑥 ∀ 𝑦 𝜒 ) ) |