Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
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 11372 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 10964 | . 2 ⊢ 10 = (9 + 1) | |
2 | 1 | eqcomi 2619 | 1 ⊢ (9 + 1) = 10 |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1475 (class class class)co 6549 1c1 9816 + caddc 9818 9c9 10954 10c10 10955 |
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-10OLD 10964 |
This theorem is referenced by: dfdecOLD 11371 declecOLD 11420 9p1e10bOLD 11432 |
Copyright terms: Public domain | W3C validator |