Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > lttr | Unicode version |
Description: Alias for axlttrn 7826, for naming consistency with lttri 7861. New proofs should generally use this instead of ax-pre-lttrn 7727. (Contributed by NM, 10-Mar-2008.) |
Ref | Expression |
---|---|
lttr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | axlttrn 7826 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wa 103 w3a 962 wcel 1480 class class class wbr 3924 cr 7612 clt 7793 |
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 603 ax-in2 604 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-13 1491 ax-14 1492 ax-17 1506 ax-i9 1510 ax-ial 1514 ax-i5r 1515 ax-ext 2119 ax-sep 4041 ax-pow 4093 ax-pr 4126 ax-un 4350 ax-setind 4447 ax-cnex 7704 ax-resscn 7705 ax-pre-lttrn 7727 |
This theorem depends on definitions: df-bi 116 df-3an 964 df-tru 1334 df-fal 1337 df-nf 1437 df-sb 1736 df-eu 2000 df-mo 2001 df-clab 2124 df-cleq 2130 df-clel 2133 df-nfc 2268 df-ne 2307 df-nel 2402 df-ral 2419 df-rex 2420 df-rab 2423 df-v 2683 df-dif 3068 df-un 3070 df-in 3072 df-ss 3079 df-pw 3507 df-sn 3528 df-pr 3529 df-op 3531 df-uni 3732 df-br 3925 df-opab 3985 df-xp 4540 df-pnf 7795 df-mnf 7796 df-ltxr 7798 |
This theorem is referenced by: ltso 7835 ltleletr 7839 ltnsym 7843 lttri 7861 lttrd 7881 lt2add 8200 lt2sub 8215 mulgt1 8614 recgt1i 8649 recreclt 8651 nnge1 8736 recnz 9137 gtndiv 9139 xrlttr 9574 fzo1fzo0n0 9953 expnbnd 10408 expnlbnd 10409 sin01gt0 11457 cos01gt0 11458 ltoddhalfle 11579 nno 11592 dvdsnprmd 11795 |
Copyright terms: Public domain | W3C validator |