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Mirrors > Home > MPE Home > Th. List > dveeq2 | Structured version Visualization version Unicode version |
Description: Quantifier introduction when one pair of variables is distinct. (Contributed by NM, 2-Jan-2002.) (Revised by NM, 20-Jul-2015.) Remove dependency on ax-11 2034. (Revised by Wolf Lammen, 8-Sep-2018.) |
Ref | Expression |
---|---|
dveeq2 |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfeqf2 2297 | . 2 | |
2 | 1 | nf5rd 2066 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wal 1481 |
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-10 2019 ax-12 2047 ax-13 2246 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 |
This theorem is referenced by: axc15 2303 ax12v2OLD 2342 |
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