Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > 9nn0 | Unicode version |
Description: 9 is a nonnegative integer. (Contributed by Mario Carneiro, 19-Apr-2015.) |
Ref | Expression |
---|---|
9nn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 9nn 8881 | . 2 | |
2 | 1 | nnnn0i 8978 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1480 c9 8771 cn0 8970 |
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-sep 4041 ax-cnex 7704 ax-resscn 7705 ax-1re 7707 ax-addrcl 7710 |
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-int 3767 df-br 3925 df-iota 5083 df-fv 5126 df-ov 5770 df-inn 8714 df-2 8772 df-3 8773 df-4 8774 df-5 8775 df-6 8776 df-7 8777 df-8 8778 df-9 8779 df-n0 8971 |
This theorem is referenced by: deccl 9189 le9lt10 9201 decsucc 9215 9p2e11 9261 9p3e12 9262 9p4e13 9263 9p5e14 9264 9p6e15 9265 9p7e16 9266 9p8e17 9267 9p9e18 9268 9t3e27 9297 9t4e36 9298 9t5e45 9299 9t6e54 9300 9t7e63 9301 9t8e72 9302 9t9e81 9303 sq10e99m1 10453 3dvds2dec 11552 setsmsdsg 12638 |
Copyright terms: Public domain | W3C validator |