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Mirrors > Home > ILE Home > Th. List > cdeqri | Unicode version |
Description: Property of conditional equality. (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
cdeqri.1 | CondEq |
Ref | Expression |
---|---|
cdeqri |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | cdeqri.1 | . 2 CondEq | |
2 | df-cdeq 2888 | . 2 CondEq | |
3 | 1, 2 | mpbi 144 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 CondEqwcdeq 2887 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 |
This theorem depends on definitions: df-bi 116 df-cdeq 2888 |
This theorem is referenced by: cdeqnot 2892 cdeqal 2893 cdeqab 2894 cdeqal1 2895 cdeqab1 2896 cdeqim 2897 cdeqeq 2899 cdeqel 2900 nfcdeq 2901 |
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