Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > zeo4 | Structured version Visualization version Unicode version |
Description: An integer is even or odd but not both. With this representation of even and odd integers, this variant of zeo2 11464 follows immediately from the principle of double negation, see notnotb 304. (Contributed by AV, 17-Jun-2021.) |
Ref | Expression |
---|---|
zeo4 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | notnotb 304 | . 2 | |
2 | 1 | a1i 11 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wb 196 wcel 1990 class class class wbr 4653 c2 11070 cz 11377 cdvds 14983 |
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 197 |
This theorem is referenced by: (None) |
Copyright terms: Public domain | W3C validator |