Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > sylan9ssr | Structured version Visualization version Unicode version |
Description: A subclass transitivity deduction. (Contributed by NM, 27-Sep-2004.) |
Ref | Expression |
---|---|
sylan9ssr.1 | |
sylan9ssr.2 |
Ref | Expression |
---|---|
sylan9ssr |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | sylan9ssr.1 | . . 3 | |
2 | sylan9ssr.2 | . . 3 | |
3 | 1, 2 | sylan9ss 3616 | . 2 |
4 | 3 | ancoms 469 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wss 3574 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1722 ax-4 1737 ax-5 1839 ax-6 1888 ax-7 1935 ax-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-clab 2609 df-cleq 2615 df-clel 2618 df-in 3581 df-ss 3588 |
This theorem is referenced by: intssuni2 4502 marypha1 8340 cardinfima 8920 cfflb 9081 ssfin4 9132 acsfn 16320 mrelatlub 17186 efgval 18130 islbs3 19155 kgentopon 21341 txlly 21439 sigaclci 30195 bnj1014 31030 topjoin 32360 filnetlem3 32375 poimirlem16 33425 mblfinlem3 33448 sspwimpALT 39161 sspwimpALT2 39164 |
Copyright terms: Public domain | W3C validator |