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Mirrors > Home > MPE Home > Th. List > mt3i | Structured version Visualization version Unicode version |
Description: Modus tollens inference. (Contributed by NM, 26-Mar-1995.) (Proof shortened by Wolf Lammen, 15-Sep-2012.) |
Ref | Expression |
---|---|
mt3i.1 | |
mt3i.2 |
Ref | Expression |
---|---|
mt3i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mt3i.1 | . . 3 | |
2 | 1 | a1i 11 | . 2 |
3 | mt3i.2 | . 2 | |
4 | 2, 3 | mt3d 140 | 1 |
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: ordeleqon 6988 wofib 8450 harcard 8804 infpssALT 9135 zorn2lem4 9321 lt6abl 18296 gzrngunitlem 19811 bwth 21213 i1f0rn 23449 dfon2lem3 31690 slerec 31923 poimirlem30 33439 |
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