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Mirrors > Home > NFE Home > Th. List > pm4.71rd | Unicode version |
Description: Deduction converting an implication to a biconditional with conjunction. Deduction from Theorem *4.71 of [WhiteheadRussell] p. 120. (Contributed by NM, 10-Feb-2005.) |
Ref | Expression |
---|---|
pm4.71rd.1 |
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Ref | Expression |
---|---|
pm4.71rd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | pm4.71rd.1 |
. 2
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2 | pm4.71r 612 |
. 2
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3 | 1, 2 | sylib 188 |
1
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Colors of variables: wff setvar class |
Syntax hints: ![]() ![]() ![]() |
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 177 df-an 360 |
This theorem is referenced by: 2reu5 3045 ralss 3333 rexss 3334 nnsucelrlem2 4426 dfco2a 5082 feu 5243 funbrfv2b 5363 dffn5 5364 fnrnfv 5365 fniniseg 5372 eqfnfv2 5394 dff4 5422 dff13 5472 nmembers1lem3 6271 |
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