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Mirrors > Home > MPE Home > Th. List > sylnibr | Structured version Visualization version Unicode version |
Description: A mixed syllogism inference from an implication and a biconditional. Useful for substituting a consequent with a definition. (Contributed by Wolf Lammen, 16-Dec-2013.) |
Ref | Expression |
---|---|
sylnibr.1 | |
sylnibr.2 |
Ref | Expression |
---|---|
sylnibr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylnibr.1 | . 2 | |
2 | sylnibr.2 | . . 3 | |
3 | 2 | bicomi 214 | . 2 |
4 | 1, 3 | sylnib 318 | 1 |
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