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Mirrors > Home > ILE Home > Th. List > mpidan | Unicode version |
Description: A deduction which "stacks" a hypothesis. (Contributed by Stanislas Polu, 9-Mar-2020.) (Proof shortened by Wolf Lammen, 28-Mar-2021.) |
Ref | Expression |
---|---|
mpidan.1 |
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mpidan.2 |
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Ref | Expression |
---|---|
mpidan |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mpidan.1 |
. . 3
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2 | 1 | adantr 276 |
. 2
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3 | mpidan.2 |
. 2
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4 | 2, 3 | mpdan 421 |
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: sumrbdc 11358 prodrbdclem2 11552 tx2cn 13403 dvaddxxbr 13798 dvmulxxbr 13799 |
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