Intuitionistic Logic Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > ILE Home > Th. List > raleq | Unicode version |
Description: Equality theorem for restricted universal quantifier. (Contributed by NM, 16-Nov-1995.) |
Ref | Expression |
---|---|
raleq |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcv 2178 | . 2 | |
2 | nfcv 2178 | . 2 | |
3 | 1, 2 | raleqf 2501 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wb 98 wceq 1243 wral 2306 |
This theorem was proved from axioms: ax-1 5 ax-2 6 ax-mp 7 ax-ia1 99 ax-ia2 100 ax-ia3 101 ax-io 630 ax-5 1336 ax-7 1337 ax-gen 1338 ax-ie1 1382 ax-ie2 1383 ax-8 1395 ax-10 1396 ax-11 1397 ax-i12 1398 ax-bndl 1399 ax-4 1400 ax-17 1419 ax-i9 1423 ax-ial 1427 ax-i5r 1428 ax-ext 2022 |
This theorem depends on definitions: df-bi 110 df-tru 1246 df-nf 1350 df-sb 1646 df-cleq 2033 df-clel 2036 df-nfc 2167 df-ral 2311 |
This theorem is referenced by: raleqi 2509 raleqdv 2511 raleqbi1dv 2513 sbralie 2546 inteq 3618 iineq1 3671 bnd2 3926 frforeq2 4082 weeq2 4094 ordeq 4109 reg2exmid 4261 reg3exmid 4304 fncnv 4965 funimaexglem 4982 isoeq4 5444 acexmidlemv 5510 tfrlem1 5923 tfr0 5937 tfrlemisucaccv 5939 tfrlemi1 5946 tfrlemi14d 5947 tfrexlem 5948 ac6sfi 6352 rexanuz 9587 setindis 10092 bdsetindis 10094 strcoll2 10108 |
Copyright terms: Public domain | W3C validator |