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Mirrors > Home > NFE Home > Th. List > mtoi | Unicode version |
Description: Modus tollens inference. (Contributed by NM, 5-Jul-1994.) (Proof shortened by Wolf Lammen, 15-Sep-2012.) |
Ref | Expression |
---|---|
mtoi.1 |
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mtoi.2 |
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Ref | Expression |
---|---|
mtoi |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mtoi.1 |
. . 3
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2 | 1 | a1i 10 |
. 2
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3 | mtoi.2 |
. 2
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4 | 2, 3 | mtod 168 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 |
This theorem is referenced by: mtbii 293 mtbiri 294 sp 1747 spOLD 1748 equsalhwOLD 1839 dvelimv 1939 ax9o 1950 nndisjeq 4430 sfinltfin 4536 vfin1cltv 4548 nulnnn 4557 nmembers1lem2 6270 |
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