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Mirrors > Home > ILE Home > Th. List > 4t2e8 | GIF version |
Description: 4 times 2 equals 8. (Contributed by NM, 2-Aug-2004.) |
Ref | Expression |
---|---|
4t2e8 | ⊢ (4 · 2) = 8 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 4cn 8822 | . . 3 ⊢ 4 ∈ ℂ | |
2 | 1 | times2i 8875 | . 2 ⊢ (4 · 2) = (4 + 4) |
3 | 4p4e8 8889 | . 2 ⊢ (4 + 4) = 8 | |
4 | 2, 3 | eqtri 2161 | 1 ⊢ (4 · 2) = 8 |
Colors of variables: wff set class |
Syntax hints: = wceq 1332 (class class class)co 5782 + caddc 7647 · cmul 7649 2c2 8795 4c4 8797 8c8 8801 |
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-io 699 ax-5 1424 ax-7 1425 ax-gen 1426 ax-ie1 1470 ax-ie2 1471 ax-8 1483 ax-10 1484 ax-11 1485 ax-i12 1486 ax-bndl 1487 ax-4 1488 ax-17 1507 ax-i9 1511 ax-ial 1515 ax-i5r 1516 ax-ext 2122 ax-resscn 7736 ax-1cn 7737 ax-1re 7738 ax-icn 7739 ax-addcl 7740 ax-addrcl 7741 ax-mulcl 7742 ax-mulcom 7745 ax-addass 7746 ax-mulass 7747 ax-distr 7748 ax-1rid 7751 ax-cnre 7755 |
This theorem depends on definitions: df-bi 116 df-3an 965 df-tru 1335 df-nf 1438 df-sb 1737 df-clab 2127 df-cleq 2133 df-clel 2136 df-nfc 2271 df-ral 2422 df-rex 2423 df-v 2691 df-un 3080 df-in 3082 df-ss 3089 df-sn 3538 df-pr 3539 df-op 3541 df-uni 3745 df-br 3938 df-iota 5096 df-fv 5139 df-ov 5785 df-2 8803 df-3 8804 df-4 8805 df-5 8806 df-6 8807 df-7 8808 df-8 8809 |
This theorem is referenced by: 8th4div3 8963 4t3e12 9303 sq4e2t8 10421 cu2 10422 sqoddm1div8 10475 cos2bnd 11503 ex-exp 13110 |
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