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Mirrors > Home > ILE Home > Th. List > simp3i | Unicode version |
Description: Infer a conjunct from a triple conjunction. (Contributed by NM, 19-Apr-2005.) |
Ref | Expression |
---|---|
3simp1i.1 |
Ref | Expression |
---|---|
simp3i |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 3simp1i.1 | . 2 | |
2 | simp3 984 | . 2 | |
3 | 1, 2 | ax-mp 5 | 1 |
Colors of variables: wff set class |
Syntax hints: w3a 963 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 |
This theorem depends on definitions: df-bi 116 df-3an 965 |
This theorem is referenced by: structfn 12251 strleun 12321 |
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