![]() |
Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
|
Mirrors > Home > ILE Home > Th. List > comraddd | Unicode version |
Description: Commute RHS addition, in deduction form. (Contributed by David A. Wheeler, 11-Oct-2018.) |
Ref | Expression |
---|---|
comraddd.1 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
comraddd.2 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
comraddd.3 |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Ref | Expression |
---|---|
comraddd |
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | comraddd.3 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
2 | comraddd.1 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
3 | comraddd.2 |
. . 3
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() | |
4 | 2, 3 | addcomd 8103 |
. 2
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
5 | 1, 4 | eqtrd 2210 |
1
![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() ![]() |
Colors of variables: wff set class |
Syntax hints: ![]() ![]() ![]() ![]() ![]() |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 106 ax-ia2 107 ax-ia3 108 ax-5 1447 ax-gen 1449 ax-4 1510 ax-17 1526 ax-ext 2159 ax-addcom 7907 |
This theorem depends on definitions: df-bi 117 df-cleq 2170 |
This theorem is referenced by: mvrladdd 8319 hashfz 10793 bdtrilem 11239 clim2ser2 11338 fsumparts 11470 arisum 11498 divalglemnn 11914 phiprmpw 12213 mulgdir 12945 metrtri 13739 apdifflemr 14646 |
Copyright terms: Public domain | W3C validator |