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Mirrors > Home > ILE Home > Th. List > addcomi | Unicode version |
Description: Addition commutes. Based on ideas by Eric Schmidt. (Contributed by Scott Fenton, 3-Jan-2013.) |
Ref | Expression |
---|---|
mul.1 | |
mul.2 |
Ref | Expression |
---|---|
addcomi |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | mul.1 | . 2 | |
2 | mul.2 | . 2 | |
3 | addcom 7899 | . 2 | |
4 | 1, 2, 3 | mp2an 422 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1331 wcel 1480 (class class class)co 5774 cc 7618 caddc 7623 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia3 107 ax-addcom 7720 |
This theorem is referenced by: addcomli 7907 add42i 7928 mvlladdi 7980 3m1e2 8840 fztpval 9863 fzo0to42pr 9997 ef01bndlem 11463 tangtx 12919 |
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