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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 2944 | . 2 CondEq | |
3 | 1, 2 | mpbi 145 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 CondEqwcdeq 2943 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 |
This theorem depends on definitions: df-bi 117 df-cdeq 2944 |
This theorem is referenced by: cdeqnot 2948 cdeqal 2949 cdeqab 2950 cdeqal1 2951 cdeqab1 2952 cdeqim 2953 cdeqeq 2955 cdeqel 2956 nfcdeq 2957 |
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