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| Mirrors > Home > PE Home > Th. List > exi-P7r.CL | |||
| Description: Closed Form of exi-P7r 995. †
This is the restatement of a previously proven result. Do not use in proofs. Use exi-P7.CL 952 instead. |
| Ref | Expression |
|---|---|
| exi-P7r.CL | ⊢ (𝜑 → ∃𝑥𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | exi-P7.CL 952 | 1 ⊢ (𝜑 → ∃𝑥𝜑) |
| Colors of variables: wff objvar term class |
| Syntax hints: → wff-imp 10 ∃wff-exists 595 |
| This theorem was proved from axioms: ax-L1 11 ax-L2 12 ax-L3 13 ax-MP 14 ax-GEN 15 ax-L4 16 ax-L5 17 ax-L6 18 ax-L7 19 ax-L10 27 ax-L11 28 ax-L12 29 |
| This theorem depends on definitions: df-bi-D2.1 107 df-and-D2.2 133 df-or-D2.3 145 df-true-D2.4 155 df-rcp-AND3 161 df-exists-D5.1 596 df-nfree-D6.1 682 df-psub-D6.2 716 |
| This theorem is referenced by: (None) |
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