Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
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 8017 | . 2 | |
4 | 1, 2, 3 | mp2an 423 | 1 |
Colors of variables: wff set class |
Syntax hints: wceq 1335 wcel 2128 (class class class)co 5827 cc 7733 caddc 7738 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia3 107 ax-addcom 7835 |
This theorem is referenced by: addcomli 8025 add42i 8046 mvlladdi 8098 3m1e2 8959 fztpval 9992 fzo0to42pr 10129 ef01bndlem 11665 tangtx 13255 |
Copyright terms: Public domain | W3C validator |