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Mirrors > Home > NFE Home > Th. List > spc2ev | Unicode version |
Description: Existential specialization, using implicit substitution. (Contributed by NM, 3-Aug-1995.) |
Ref | Expression |
---|---|
spc2ev.1 | |
spc2ev.2 | |
spc2ev.3 |
Ref | Expression |
---|---|
spc2ev |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | spc2ev.1 | . 2 | |
2 | spc2ev.2 | . 2 | |
3 | spc2ev.3 | . . 3 | |
4 | 3 | spc2egv 2941 | . 2 |
5 | 1, 2, 4 | mp2an 653 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wa 358 wex 1541 wceq 1642 wcel 1710 cvv 2859 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-6 1729 ax-7 1734 ax-11 1746 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-nf 1545 df-sb 1649 df-clab 2340 df-cleq 2346 df-clel 2349 df-v 2861 |
This theorem is referenced by: opkabssvvk 4208 dfpw12 4301 pw1equn 4331 pw1eqadj 4332 dfxp2 5113 brtxp 5783 endisj 6051 mucnc 6131 ce0nnul 6177 cenc 6181 ce2 6192 |
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