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Mirrors > Home > ILE Home > Th. List > im2anan9r | Unicode version |
Description: Deduction joining nested implications to form implication of conjunctions. (Contributed by NM, 29-Feb-1996.) |
Ref | Expression |
---|---|
im2an9.1 | |
im2an9.2 |
Ref | Expression |
---|---|
im2anan9r |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | im2an9.1 | . . 3 | |
2 | im2an9.2 | . . 3 | |
3 | 1, 2 | im2anan9 562 | . 2 |
4 | 3 | ancoms 264 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 |
This theorem depends on definitions: df-bi 115 |
This theorem is referenced by: lbreu 8023 |
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