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Mirrors > Home > ILE Home > Th. List > ad4ant123 | Unicode version |
Description: Deduction adding conjuncts to antecedent. (Contributed by Alan Sare, 17-Oct-2017.) (Proof shortened by Wolf Lammen, 14-Apr-2022.) |
Ref | Expression |
---|---|
ad4ant3.1 |
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Ref | Expression |
---|---|
ad4ant123 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ad4ant3.1 |
. . 3
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2 | 1 | 3expa 1164 |
. 2
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3 | 2 | adantr 272 |
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 |
This theorem depends on definitions: df-bi 116 df-3an 947 |
This theorem is referenced by: (None) |
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