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Mirrors > Home > MPE Home > Th. List > nfdh | Unicode version |
Description: Deduce that is not free in in a context. (Contributed by Mario Carneiro, 24-Sep-2016.) |
Ref | Expression |
---|---|
nfdh.1 | |
nfdh.2 |
Ref | Expression |
---|---|
nfdh |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfdh.1 | . . 3 | |
2 | 1 | nfi 1623 | . 2 |
3 | nfdh.2 | . 2 | |
4 | 2, 3 | nfd 1878 | 1 |
Colors of variables: wff setvar class |
Syntax hints: -> wi 4 A. wal 1393
F/ wnf 1616 |
This theorem is referenced by: hbimd 1921 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-12 1854 |
This theorem depends on definitions: df-bi 185 df-ex 1613 df-nf 1617 |
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