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Mirrors > Home > ILE Home > Th. List > 1p1e2 | GIF version |
Description: 1 + 1 = 2. (Contributed by NM, 1-Apr-2008.) |
Ref | Expression |
---|---|
1p1e2 | ⊢ (1 + 1) = 2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-2 8772 | . 2 ⊢ 2 = (1 + 1) | |
2 | 1 | eqcomi 2141 | 1 ⊢ (1 + 1) = 2 |
Colors of variables: wff set class |
Syntax hints: = wceq 1331 (class class class)co 5767 1c1 7614 + caddc 7616 2c2 8764 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-ia1 105 ax-ia2 106 ax-ia3 107 ax-5 1423 ax-gen 1425 ax-ext 2119 |
This theorem depends on definitions: df-bi 116 df-cleq 2130 df-2 8772 |
This theorem is referenced by: 2m1e1 8831 add1p1 8962 sub1m1 8963 nn0n0n1ge2 9114 3halfnz 9141 10p10e20 9269 5t4e20 9276 6t4e24 9280 7t3e21 9284 8t3e24 9290 9t3e27 9297 fldiv4p1lem1div2 10071 m1modge3gt1 10137 fac2 10470 hash2 10551 nn0o1gt2 11591 3lcm2e6woprm 11756 ex-exp 12928 |
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