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Mirrors > Home > MPE Home > Th. List > dveeq1 | Unicode version |
Description: Quantifier introduction when one pair of variables is distinct. (Contributed by NM, 2-Jan-2002.) Remove dependency on ax-11 1842. (Revised by Wolf Lammen, 8-Sep-2018.) |
Ref | Expression |
---|---|
dveeq1 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfeqf1 2043 | . 2 | |
2 | 1 | nfrd 1875 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -. wn 3 -> wi 4
A. wal 1393 |
This theorem is referenced by: nfeqf 2045 axc11nlemOLD 2048 axc11n 2049 axc11nOLD 2050 |
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-12 1854 ax-13 1999 |
This theorem depends on definitions: df-bi 185 df-an 371 df-ex 1613 df-nf 1617 |
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