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Mirrors > Home > QLE Home > Th. List > u3lemc5 | GIF version |
Description: Commutation theorem for Kalmbach implication. (Contributed by NM, 11-Jan-1998.) |
Ref | Expression |
---|---|
ulemc3.1 | a C b |
Ref | Expression |
---|---|
u3lemc5 | a C (a →3 b) |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | comi31 508 | 1 a C (a →3 b) |
Colors of variables: term |
Syntax hints: C wc 3 →3 wi3 14 |
This theorem was proved from axioms: ax-a1 30 ax-a2 31 ax-a3 32 ax-a4 33 ax-a5 34 ax-r1 35 ax-r2 36 ax-r4 37 ax-r5 38 ax-r3 439 |
This theorem depends on definitions: df-b 39 df-a 40 df-t 41 df-f 42 df-i3 46 df-le1 130 df-le2 131 df-c1 132 df-c2 133 |
This theorem is referenced by: (None) |
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