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Mirrors > Home > ILE Home > Th. List > equequ1 | Unicode version |
Description: An equivalence law for equality. (Contributed by NM, 5-Aug-1993.) |
Ref | Expression |
---|---|
equequ1 |
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Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ax-8 1392 |
. 2
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2 | equtr 1592 |
. 2
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3 | 1, 2 | impbid 120 |
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 99 ax-ia2 100 ax-ia3 101 ax-gen 1335 ax-ie2 1380 ax-8 1392 ax-17 1416 ax-i9 1420 |
This theorem depends on definitions: df-bi 110 |
This theorem is referenced by: equveli 1639 drsb1 1677 equsb3lem 1821 euequ1 1992 axext3 2020 reu6 2724 reu7 2730 cbviota 4815 dff13f 5352 poxp 5794 |
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