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Related theorems GIF version |
| Description: Inference rule reversing generalization. |
| Ref | Expression |
|---|---|
| a4i.1 | ⊢ ∀xφ |
| Ref | Expression |
|---|---|
| a4i | ⊢ φ |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | a4i.1 | . 2 ⊢ ∀xφ | |
| 2 | ax-4 673 | . 2 ⊢ (∀xφ → φ) | |
| 3 | 1, 2 | ax-mp 6 | 1 ⊢ φ |
| Colors of variables: wff set class |
| Syntax hints: ∀wal 672 |
| This theorem is referenced by: ersym 3209 ertr 3211 ac7 3569 ac4 3571 ac5 3573 ac8 3579 kmlem2 3581 |
| This theorem was proved from axioms: ax-mp 6 ax-4 673 |