Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > 8nn0 | Unicode version |
Description: 8 is a nonnegative integer. (Contributed by Mario Carneiro, 19-Apr-2015.) |
Ref | Expression |
---|---|
8nn0 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | 8nn 8199 | . 2 | |
2 | 1 | nnnn0i 8296 | 1 |
Colors of variables: wff set class |
Syntax hints: wcel 1433 c8 8095 cn0 8288 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 104 ax-ia2 105 ax-ia3 106 ax-io 662 ax-5 1376 ax-7 1377 ax-gen 1378 ax-ie1 1422 ax-ie2 1423 ax-8 1435 ax-10 1436 ax-11 1437 ax-i12 1438 ax-bndl 1439 ax-4 1440 ax-17 1459 ax-i9 1463 ax-ial 1467 ax-i5r 1468 ax-ext 2063 ax-sep 3896 ax-cnex 7067 ax-resscn 7068 ax-1re 7070 ax-addrcl 7073 |
This theorem depends on definitions: df-bi 115 df-3an 921 df-tru 1287 df-nf 1390 df-sb 1686 df-clab 2068 df-cleq 2074 df-clel 2077 df-nfc 2208 df-ral 2353 df-rex 2354 df-v 2603 df-un 2977 df-in 2979 df-ss 2986 df-sn 3404 df-pr 3405 df-op 3407 df-uni 3602 df-int 3637 df-br 3786 df-iota 4887 df-fv 4930 df-ov 5535 df-inn 8040 df-2 8098 df-3 8099 df-4 8100 df-5 8101 df-6 8102 df-7 8103 df-8 8104 df-n0 8289 |
This theorem is referenced by: 8p3e11 8557 8p4e12 8558 8p5e13 8559 8p6e14 8560 8p7e15 8561 8p8e16 8562 9p9e18 8570 6t4e24 8582 7t5e35 8588 8t3e24 8592 8t4e32 8593 8t5e40 8594 8t6e48 8595 8t7e56 8596 8t8e64 8597 9t3e27 8599 9t9e81 8605 |
Copyright terms: Public domain | W3C validator |