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Mirrors > Home > ILE Home > Th. List > ecase23d | Unicode version |
Description: Variation of ecased 1239 with three disjuncts instead of two. (Contributed by NM, 22-Apr-1994.) (Revised by Jim Kingdon, 9-Dec-2017.) |
Ref | Expression |
---|---|
ecase23d.1 | |
ecase23d.2 | |
ecase23d.3 |
Ref | Expression |
---|---|
ecase23d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ecase23d.1 | . 2 | |
2 | ecase23d.2 | . . 3 | |
3 | ecase23d.3 | . . . 4 | |
4 | df-3or 886 | . . . 4 | |
5 | 3, 4 | sylib 127 | . . 3 |
6 | 2, 5 | ecased 1239 | . 2 |
7 | 1, 6 | ecased 1239 | 1 |
Colors of variables: wff set class |
Syntax hints: wn 3 wi 4 wo 629 w3o 884 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-in2 545 ax-io 630 |
This theorem depends on definitions: df-bi 110 df-3or 886 |
This theorem is referenced by: (None) |
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