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Mirrors > Home > ILE Home > Th. List > equtr2 | Unicode version |
Description: A transitive law for equality. (Contributed by NM, 12-Aug-1993.) (Proof shortened by Andrew Salmon, 25-May-2011.) |
Ref | Expression |
---|---|
equtr2 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | equtrr 1687 |
. . 3
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2 | 1 | equcoms 1685 |
. 2
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3 | 2 | impcom 124 |
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 105 ax-ia2 106 ax-gen 1426 ax-ie2 1471 ax-8 1483 ax-17 1507 ax-i9 1511 |
This theorem depends on definitions: df-bi 116 |
This theorem is referenced by: mo23 2041 euequ1 2095 |
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