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Mirrors > Home > ILE Home > Th. List > imimorbdc | Unicode version |
Description: Simplify an implication between implications, for a decidable proposition. (Contributed by Jim Kingdon, 18-Mar-2018.) |
Ref | Expression |
---|---|
imimorbdc |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | dfor2dc 833 |
. . 3
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2 | 1 | imbi2d 229 |
. 2
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3 | bi2.04 247 |
. 2
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4 | 2, 3 | syl6rbbr 198 |
1
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Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-in1 580 ax-in2 581 ax-io 666 |
This theorem depends on definitions: df-bi 116 df-dc 782 |
This theorem is referenced by: (None) |
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