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Mirrors > Home > MPE Home > Th. List > nfe1OLD | Structured version Visualization version GIF version |
Description: Obsolete proof of nfe1 2014 as of 6-Oct-2021. (Contributed by Mario Carneiro, 11-Aug-2016.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
nfe1OLD | ⊢ Ⅎ𝑥∃𝑥𝜑 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbe1 2008 | . 2 ⊢ (∃𝑥𝜑 → ∀𝑥∃𝑥𝜑) | |
2 | 1 | nfiOLD 1725 | 1 ⊢ Ⅎ𝑥∃𝑥𝜑 |
Colors of variables: wff setvar class |
Syntax hints: ∃wex 1695 ℲwnfOLD 1700 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1713 ax-4 1728 ax-10 2006 |
This theorem depends on definitions: df-bi 196 df-ex 1696 df-nfOLD 1712 |
This theorem is referenced by: (None) |
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