Mathbox for Thierry Arnoux |
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Mirrors > Home > MPE Home > Th. List > Mathboxes > 3o1cs | Structured version Visualization version Unicode version |
Description: Deduction eliminating disjunct. (Contributed by Thierry Arnoux, 19-Dec-2016.) |
Ref | Expression |
---|---|
3o1cs.1 |
Ref | Expression |
---|---|
3o1cs |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-3or 1038 | . . . 4 | |
2 | 3o1cs.1 | . . . 4 | |
3 | 1, 2 | sylbir 225 | . . 3 |
4 | 3 | orcs 409 | . 2 |
5 | 4 | orcs 409 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wo 383 w3o 1036 |
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 df-or 385 df-3or 1038 |
This theorem is referenced by: xrpxdivcld 29643 |
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