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Mirrors > Home > ILE Home > Th. List > ssrexv | Unicode version |
Description: Existential quantification restricted to a subclass. (Contributed by NM, 11-Jan-2007.) |
Ref | Expression |
---|---|
ssrexv |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | ssel 3061 | . . 3 | |
2 | 1 | anim1d 334 | . 2 |
3 | 2 | reximdv2 2508 | 1 |
Colors of variables: wff set class |
Syntax hints: wi 4 wcel 1465 wrex 2394 wss 3041 |
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-5 1408 ax-7 1409 ax-gen 1410 ax-ie1 1454 ax-ie2 1455 ax-8 1467 ax-11 1469 ax-4 1472 ax-17 1491 ax-i9 1495 ax-ial 1499 ax-i5r 1500 ax-ext 2099 |
This theorem depends on definitions: df-bi 116 df-nf 1422 df-sb 1721 df-clab 2104 df-cleq 2110 df-clel 2113 df-rex 2399 df-in 3047 df-ss 3054 |
This theorem is referenced by: iunss1 3794 moriotass 5726 tfr1onlemssrecs 6204 tfrcllemssrecs 6217 fiss 6833 supelti 6857 ctssdclemn0 6963 ctssdc 6966 enumctlemm 6967 lbzbi 9376 rexico 10961 alzdvds 11479 zsupcl 11567 infssuzex 11569 gcddvds 11579 dvdslegcd 11580 ssrest 12278 bj-nn0suc 13089 |
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