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Mirrors > Home > MPE Home > Th. List > 9p1e10OLD | Structured version Visualization version GIF version |
Description: 9 + 1 = 10. (Contributed by Mario Carneiro, 18-Apr-2015.) Obsolete version of 9p1e10 11698 as of 8-Sep-2021. (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
9p1e10OLD | ⊢ (9 + 1) = 10 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-10OLD 11289 | . 2 ⊢ 10 = (9 + 1) | |
2 | 1 | eqcomi 2780 | 1 ⊢ (9 + 1) = 10 |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1631 (class class class)co 6793 1c1 10139 + caddc 10141 9c9 11279 10c10 11280 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1870 ax-4 1885 ax-5 1991 ax-6 2057 ax-7 2093 ax-9 2154 ax-ext 2751 |
This theorem depends on definitions: df-bi 197 df-an 383 df-ex 1853 df-cleq 2764 df-10OLD 11289 |
This theorem is referenced by: dfdecOLD 11697 declecOLD 11746 |
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