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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 8803 | . 2 ⊢ 2 = (1 + 1) | |
2 | 1 | eqcomi 2144 | 1 ⊢ (1 + 1) = 2 |
Colors of variables: wff set class |
Syntax hints: = wceq 1332 (class class class)co 5782 1c1 7645 + caddc 7647 2c2 8795 |
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 1424 ax-gen 1426 ax-ext 2122 |
This theorem depends on definitions: df-bi 116 df-cleq 2133 df-2 8803 |
This theorem is referenced by: 2m1e1 8862 add1p1 8993 sub1m1 8994 nn0n0n1ge2 9145 3halfnz 9172 10p10e20 9300 5t4e20 9307 6t4e24 9311 7t3e21 9315 8t3e24 9321 9t3e27 9328 fldiv4p1lem1div2 10109 m1modge3gt1 10175 fac2 10509 hash2 10590 nn0o1gt2 11638 3lcm2e6woprm 11803 logbleb 13086 logblt 13087 ex-exp 13110 |
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