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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 8791 | . . 3 ⊢ 4 ∈ ℂ | |
2 | 1 | times2i 8844 | . 2 ⊢ (4 · 2) = (4 + 4) |
3 | 4p4e8 8858 | . 2 ⊢ (4 + 4) = 8 | |
4 | 2, 3 | eqtri 2158 | 1 ⊢ (4 · 2) = 8 |
Colors of variables: wff set class |
Syntax hints: = wceq 1331 (class class class)co 5767 + caddc 7616 · cmul 7618 2c2 8764 4c4 8766 8c8 8770 |
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 698 ax-5 1423 ax-7 1424 ax-gen 1425 ax-ie1 1469 ax-ie2 1470 ax-8 1482 ax-10 1483 ax-11 1484 ax-i12 1485 ax-bndl 1486 ax-4 1487 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 ax-resscn 7705 ax-1cn 7706 ax-1re 7707 ax-icn 7708 ax-addcl 7709 ax-addrcl 7710 ax-mulcl 7711 ax-mulcom 7714 ax-addass 7715 ax-mulass 7716 ax-distr 7717 ax-1rid 7720 ax-cnre 7724 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-nf 1437 df-sb 1736 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-ral 2419 df-rex 2420 df-v 2683 df-un 3070 df-in 3072 df-ss 3079 df-sn 3528 df-pr 3529 df-op 3531 df-uni 3732 df-br 3925 df-iota 5083 df-fv 5126 df-ov 5770 df-2 8772 df-3 8773 df-4 8774 df-5 8775 df-6 8776 df-7 8777 df-8 8778 |
This theorem is referenced by: 8th4div3 8932 4t3e12 9272 sq4e2t8 10383 cu2 10384 sqoddm1div8 10437 cos2bnd 11456 ex-exp 12928 |
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