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| Mirrors > Home > MPE Home > Th. List > axi4 | Structured version Visualization version GIF version | ||
| Description: Specialization (intuitionistic logic axiom ax-4). This is just sp 2222 by another name. (Contributed by Jim Kingdon, 31-Dec-2017.) (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| axi4 | ⊢ (∀𝑥𝜑 → 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | sp 2222 | 1 ⊢ (∀𝑥𝜑 → 𝜑) |
| Colors of variables: wff setvar class |
| This proof depends on syntax axioms: → wi 4 ∀wal 1568 |
| This proof depends on axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1828 ax-4 1842 ax-5 1943 ax-6 2000 ax-7 2041 ax-12 2216 |
| This proof depends on definitions: df-bi 210 df-ex 1813 |
| This theorem is used by: (None) |
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