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Mirrors > Home > MPE Home > Th. List > 6p1e7 | Structured version Visualization version GIF version |
Description: 6 + 1 = 7. (Contributed by Mario Carneiro, 18-Apr-2015.) |
Ref | Expression |
---|---|
6p1e7 | ⊢ (6 + 1) = 7 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-7 10961 | . 2 ⊢ 7 = (6 + 1) | |
2 | 1 | eqcomi 2619 | 1 ⊢ (6 + 1) = 7 |
Colors of variables: wff setvar class |
Syntax hints: = wceq 1475 (class class class)co 6549 1c1 9816 + caddc 9818 6c6 10951 7c7 10952 |
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-7 10961 |
This theorem is referenced by: 9t8e72 11545 s7len 13497 37prm 15666 163prm 15670 317prm 15671 631prm 15672 1259lem1 15676 1259lem3 15678 1259lem4 15679 1259lem5 15680 2503lem1 15682 2503lem2 15683 2503lem3 15684 2503prm 15685 4001lem1 15686 4001lem4 15689 4001prm 15690 log2ublem3 24475 log2ub 24476 fmtno2 40000 fmtno3 40001 fmtno4 40002 fmtno5lem4 40006 fmtno5 40007 fmtno4nprmfac193 40024 fmtno5fac 40032 127prm 40053 mod42tp1mod8 40057 gboge7 40185 bgoldbwt 40199 nnsum3primesle9 40210 |
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