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Mirrors > Home > MPE Home > Th. List > 5p1e6 | Structured version Visualization version GIF version |
Description: 5 + 1 = 6. (Contributed by Mario Carneiro, 18-Apr-2015.) |
Ref | Expression |
---|---|
5p1e6 | ⊢ (5 + 1) = 6 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-6 10960 | . 2 ⊢ 6 = (5 + 1) | |
2 | 1 | eqcomi 2619 | 1 ⊢ (5 + 1) = 6 |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1475 (class class class)co 6549 1c1 9816 + caddc 9818 5c5 10950 6c6 10951 |
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-6 10960 |
This theorem is referenced by: 8t8e64 11538 9t7e63 11544 5recm6rec 11562 fldiv4p1lem1div2 12498 s6len 13496 163prm 15670 631prm 15672 prmo6 15675 1259lem1 15676 1259lem4 15679 2503lem1 15682 2503lem2 15683 4001lem1 15686 4001lem4 15689 4001prm 15690 log2ublem3 24475 log2ub 24476 fib6 29795 fmtno5lem2 40004 fmtno5lem3 40005 fmtno5lem4 40006 fmtno4prmfac193 40023 fmtno4nprmfac193 40024 fmtno5faclem3 40031 flsqrt5 40047 127prm 40053 gboge7 40185 gbege6 40187 bgoldbwt 40199 nnsum3primesle9 40210 |
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