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Mirrors > Home > MPE Home > Th. List > df-3an | Structured version Visualization version Unicode version |
Description: Define conjunction ('and') of three wff's. Definition *4.34 of [WhiteheadRussell] p. 118. This abbreviation reduces the number of parentheses and emphasizes that the order of bracketing is not important by virtue of the associative law anass 681. (Contributed by NM, 8-Apr-1994.) |
Ref | Expression |
---|---|
df-3an |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | wph | . . 3 | |
2 | wps | . . 3 | |
3 | wch | . . 3 | |
4 | 1, 2, 3 | w3a 1037 | . 2 |
5 | 1, 2 | wa 384 | . . 3 |
6 | 5, 3 | wa 384 | . 2 |
7 | 4, 6 | wb 196 | 1 |
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