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Mirrors > Home > MPE Home > Th. List > pm2.24i | Structured version Visualization version GIF version |
Description: Inference associated with pm2.24 124. Its associated inference is pm2.24ii 120. (Contributed by NM, 20-Aug-2001.) |
Ref | Expression |
---|---|
pm2.24i.1 | ⊢ 𝜑 |
Ref | Expression |
---|---|
pm2.24i | ⊢ (¬ 𝜑 → 𝜓) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm2.24i.1 | . . 3 ⊢ 𝜑 | |
2 | 1 | a1i 11 | . 2 ⊢ (¬ 𝜓 → 𝜑) |
3 | 2 | con1i 149 | 1 ⊢ (¬ 𝜑 → 𝜓) |
Colors of variables: wff setvar class |
Syntax hints: ¬ wn 3 → wi 4 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem is referenced by: orci 861 niabn 1017 ax13dgen1 2141 snopeqop 5396 prm23ge5 16152 pmtrdifellem4 18607 2irrexpq 25313 usgredg2v 27009 frgr3vlem1 28052 frgr3vlem2 28053 3vfriswmgrlem 28056 negsym1 33765 wl-moteq 34769 nnn1suc 39179 euoreqb 43328 line2ylem 44758 |
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