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Mirrors > Home > ILE Home > Th. List > animpimp2impd | Unicode version |
Description: Deduction deriving nested implications from conjunctions. (Contributed by AV, 21-Aug-2022.) |
Ref | Expression |
---|---|
animpimp2impd.1 |
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animpimp2impd.2 |
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Ref | Expression |
---|---|
animpimp2impd |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | animpimp2impd.1 |
. . . 4
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2 | animpimp2impd.2 |
. . . . . 6
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3 | 2 | expr 375 |
. . . . 5
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4 | 3 | a2d 26 |
. . . 4
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5 | 1, 4 | syld 45 |
. . 3
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6 | 5 | expcom 116 |
. 2
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7 | 6 | a2d 26 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 |
This theorem is referenced by: seq3fveq2 10455 seq3shft2 10459 seq3split 10465 seq3id2 10495 |
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