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Mirrors > Home > MPE Home > Th. List > hbnae-o | Unicode version |
Description: All variables are effectively bound in a distinct variable specifier. Lemma L19 in [Megill] p. 446 (p. 14 of the preprint). Version of hbnae 2057 using ax-c11 2218. (Contributed by NM, 13-May-1993.) (Proof modification is discouraged.) (New usage is discouraged.) |
Ref | Expression |
---|---|
hbnae-o |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | hbae-o 2232 | . 2 | |
2 | 1 | hbn 1895 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4
A. wal 1393 |
This theorem is referenced by: dvelimf-o 2259 ax12indalem 2275 ax12inda2ALT 2276 |
This theorem was proved from axioms: ax-mp 5 ax-1 6 ax-2 7 ax-3 8 ax-gen 1618 ax-4 1631 ax-5 1704 ax-6 1747 ax-7 1790 ax-10 1837 ax-11 1842 ax-12 1854 ax-c5 2214 ax-c4 2215 ax-c7 2216 ax-c11 2218 ax-c9 2221 |
This theorem depends on definitions: df-bi 185 df-ex 1613 |
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