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Mirrors > Home > ILE Home > Th. List > orcs | Unicode version |
Description: Deduction eliminating disjunct. Notational convention: We sometimes suffix with "s" the label of an inference that manipulates an antecedent, leaving the consequent unchanged. The "s" means that the inference eliminates the need for a syllogism (syl 14) -type inference in a proof. (Contributed by NM, 21-Jun-1994.) |
Ref | Expression |
---|---|
orcs.1 |
Ref | Expression |
---|---|
orcs |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | orc 632 | . 2 | |
2 | orcs.1 | . 2 | |
3 | 1, 2 | syl 14 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wo 628 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-io 629 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: olcs 654 |
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