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Mirrors > Home > MPE Home > Th. List > rsp2 | Structured version Visualization version Unicode version |
Description: Restricted specialization, with two quantifiers. (Contributed by NM, 11-Feb-1997.) |
Ref | Expression |
---|---|
rsp2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | rsp 2929 | . . 3 | |
2 | rsp 2929 | . . 3 | |
3 | 1, 2 | syl6 35 | . 2 |
4 | 3 | impd 447 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wa 384 wcel 1990 wral 2912 |
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-12 2047 |
This theorem depends on definitions: df-bi 197 df-an 386 df-ex 1705 df-ral 2917 |
This theorem is referenced by: ralcom2 3104 disjxiun 4649 disjxiunOLD 4650 solin 5058 mpt2curryd 7395 cmncom 18209 cnmpt21 21474 cnmpt2t 21476 cnmpt22 21477 cnmptcom 21481 frgrwopreglem5ALT 27186 htthlem 27774 prtlem14 34159 islptre 39851 sprsymrelfolem2 41743 |
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