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Mirrors > Home > NFE Home > Th. List > mpto2 | Unicode version |
Description: Modus ponendo tollens 2,
one of the "indemonstrables" in Stoic logic.
Note that this uses exclusive-or ![]() |
Ref | Expression |
---|---|
mpto2.1 |
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mpto2.2 |
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Ref | Expression |
---|---|
mpto2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpto2.1 |
. 2
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2 | mpto2.2 |
. . . 4
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3 | df-xor 1305 |
. . . 4
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 2, 3 | mpbi 199 |
. . 3
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5 | xor3 346 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
6 | 4, 5 | mpbi 199 |
. 2
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7 | 1, 6 | mpbi 199 |
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 depends on definitions: df-bi 177 df-xor 1305 |
This theorem is referenced by: mtp-xor 1536 |
Copyright terms: Public domain | W3C validator |