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Mirrors > Home > MPE Home > Th. List > 8p1e9 | Structured version Visualization version GIF version |
Description: 8 + 1 = 9. (Contributed by Mario Carneiro, 18-Apr-2015.) |
Ref | Expression |
---|---|
8p1e9 | ⊢ (8 + 1) = 9 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-9 10963 | . 2 ⊢ 9 = (8 + 1) | |
2 | 1 | eqcomi 2619 | 1 ⊢ (8 + 1) = 9 |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1475 (class class class)co 6549 1c1 9816 + caddc 9818 8c8 10953 9c9 10954 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1713 ax-4 1728 ax-ext 2590 |
This theorem depends on definitions: df-bi 196 df-cleq 2603 df-9 10963 |
This theorem is referenced by: cos2bnd 14757 19prm 15663 139prm 15669 317prm 15671 1259lem2 15677 1259lem4 15679 1259lem5 15680 1259prm 15681 2503lem1 15682 2503lem2 15683 2503lem3 15684 4001lem1 15686 quartlem1 24384 log2ub 24476 fmtno5lem3 40005 fmtno5lem4 40006 fmtno4prmfac 40022 fmtno5fac 40032 139prmALT 40049 evengpop3 40214 bgoldbtbndlem1 40221 |
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