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Mirrors > Home > MPE Home > Th. List > idi | Structured version Visualization version GIF version |
Description: This inference, which requires no axioms for its proof, is useful as a copy-paste mechanism during proof development in mmj2. It is normally not referenced in the final version of a proof, since it is always redundant and can be removed using the 'minimize *' command in the metamath program's Proof Assistant. It is the inference associated with id 22. (Contributed by Alan Sare, 31-Dec-2011.) |
Ref | Expression |
---|---|
idi.1 | ⊢ 𝜑 |
Ref | Expression |
---|---|
idi | ⊢ 𝜑 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | idi.1 | 1 ⊢ 𝜑 |
Colors of variables: wff setvar class |
This theorem is referenced by: opfi1uzind 13138 opfi1uzindOLD 13144 opphllem2 25440 madjusmdetlem2 29222 frege55lem2a 37181 fsovrfovd 37323 imo72b2lem0 37487 ssmapsn 38403 fprodcnlem 38666 dvmptfprod 38835 dvnprodlem1 38836 sge0f1o 39275 ovncvr2 39501 pfxcl 40249 rngcifuestrc 41789 |
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