Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > lttr | Unicode version |
Description: Alias for axlttrn 7947, for naming consistency with lttri 7982. New proofs should generally use this instead of ax-pre-lttrn 7847. (Contributed by NM, 10-Mar-2008.) |
Ref | Expression |
---|---|
lttr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axlttrn 7947 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 963 wcel 2128 class class class wbr 3966 cr 7732 clt 7913 |
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-in1 604 ax-in2 605 ax-io 699 ax-5 1427 ax-7 1428 ax-gen 1429 ax-ie1 1473 ax-ie2 1474 ax-8 1484 ax-10 1485 ax-11 1486 ax-i12 1487 ax-bndl 1489 ax-4 1490 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-13 2130 ax-14 2131 ax-ext 2139 ax-sep 4083 ax-pow 4136 ax-pr 4170 ax-un 4394 ax-setind 4497 ax-cnex 7824 ax-resscn 7825 ax-pre-lttrn 7847 |
This theorem depends on definitions: df-bi 116 df-3an 965 df-tru 1338 df-fal 1341 df-nf 1441 df-sb 1743 df-eu 2009 df-mo 2010 df-clab 2144 df-cleq 2150 df-clel 2153 df-nfc 2288 df-ne 2328 df-nel 2423 df-ral 2440 df-rex 2441 df-rab 2444 df-v 2714 df-dif 3104 df-un 3106 df-in 3108 df-ss 3115 df-pw 3545 df-sn 3566 df-pr 3567 df-op 3569 df-uni 3774 df-br 3967 df-opab 4027 df-xp 4593 df-pnf 7915 df-mnf 7916 df-ltxr 7918 |
This theorem is referenced by: ltso 7956 ltleletr 7960 ltnsym 7964 lttri 7982 lttrd 8002 lt2add 8321 lt2sub 8336 mulgt1 8735 recgt1i 8770 recreclt 8772 nnge1 8857 recnz 9258 gtndiv 9260 xrlttr 9703 fzo1fzo0n0 10086 expnbnd 10545 expnlbnd 10546 sin01gt0 11662 cos01gt0 11663 p1modz1 11694 ltoddhalfle 11788 nno 11801 dvdsnprmd 12006 reeff1olem 13134 logdivlti 13244 |
Copyright terms: Public domain | W3C validator |