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Mirrors > Home > MPE 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 835 | . 2 |
4 | 3 | ancoms 453 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 /\ wa 369 |
This theorem is referenced by: pssnn 7758 lbreu 10518 catideu 15072 wlkdvspthlem 24609 exidu1 25328 rngoideu 25386 |
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 185 df-an 371 |
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