| Mathbox for Norm Megill |
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| Mirrors > Home > MPE Home > Th. List > Mathboxes > axc5 | Structured version Visualization version GIF version | ||
| Description: This theorem repeats sp 2186 under the name axc5 38931, so that the Metamath program "MM> VERIFY MARKUP" command will check that it matches axiom scheme ax-c5 38921. (Contributed by NM, 18-Aug-2017.) (Proof modification is discouraged.) Use sp 2186 instead. (New usage is discouraged.) |
| Ref | Expression |
|---|---|
| axc5 | ⊢ (∀𝑥𝜑 → 𝜑) |
| Step | Hyp | Ref | Expression |
|---|---|---|---|
| 1 | sp 2186 | 1 ⊢ (∀𝑥𝜑 → 𝜑) |
| Colors of variables: wff setvar class |
| Syntax hints: → wi 4 ∀wal 1539 |
| This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1796 ax-4 1810 ax-5 1911 ax-6 1968 ax-7 2009 ax-12 2180 |
| This theorem depends on definitions: df-bi 207 df-ex 1781 |
| This theorem is referenced by: (None) |
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