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Mirrors > Home > NFE Home > Th. List > fneq2d | Unicode version |
Description: Equality deduction for function predicate with domain. (Contributed by Paul Chapman, 22-Jun-2011.) |
Ref | Expression |
---|---|
fneq2d.1 |
Ref | Expression |
---|---|
fneq2d |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | fneq2d.1 | . 2 | |
2 | fneq2 5174 | . 2 | |
3 | 1, 2 | syl 15 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wb 176 wceq 1642 wfn 4776 |
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-11 1746 ax-ext 2334 |
This theorem depends on definitions: df-bi 177 df-an 360 df-ex 1542 df-cleq 2346 df-fn 4790 |
This theorem is referenced by: fneq12d 5177 |
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