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Mirrors > Home > MPE Home > Th. List > Mathboxes > axc5 | Structured version Visualization version GIF version |
Description: This theorem repeats sp 2041 under the name axc5 33196, so that the metamath program's "verify markup" command will check that it matches axiom scheme ax-c5 33186. It is preferred that references to this theorem use the name sp 2041. (Contributed by NM, 18-Aug-2017.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
axc5 | ⊢ (∀𝑥𝜑 → 𝜑) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sp 2041 | 1 ⊢ (∀𝑥𝜑 → 𝜑) |
Colors of variables: wff setvar class |
Syntax hints: → wi 4 ∀wal 1473 |
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-5 1827 ax-6 1875 ax-7 1922 ax-12 2034 |
This theorem depends on definitions: df-bi 196 df-ex 1696 |
This theorem is referenced by: (None) |
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