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Mirrors > Home > ILE Home > Th. List > eqeqan12rd | Unicode version |
Description: A useful inference for substituting definitions into an equality. (Contributed by NM, 9-Aug-1994.) |
Ref | Expression |
---|---|
eqeqan12rd.1 | |
eqeqan12rd.2 |
Ref | Expression |
---|---|
eqeqan12rd |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | eqeqan12rd.1 | . . 3 | |
2 | eqeqan12rd.2 | . . 3 | |
3 | 1, 2 | eqeqan12d 2096 | . 2 |
4 | 3 | ancoms 264 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 102 wb 103 wceq 1284 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-5 1376 ax-gen 1378 ax-4 1440 ax-17 1459 ax-ext 2063 |
This theorem depends on definitions: df-bi 115 df-cleq 2074 |
This theorem is referenced by: (None) |
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