Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > nfcrii | Structured version Visualization version Unicode version |
Description: Consequence of the not-free predicate. (Contributed by Mario Carneiro, 11-Aug-2016.) |
Ref | Expression |
---|---|
nfcri.1 |
Ref | Expression |
---|---|
nfcrii |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | nfcri.1 | . . . 4 | |
2 | nfcr 2756 | . . . 4 | |
3 | 1, 2 | ax-mp 5 | . . 3 |
4 | 3 | nf5ri 2065 | . 2 |
5 | 4 | hblem 2731 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wi 4 wal 1481 wnf 1708 wcel 1990 wnfc 2751 |
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-9 1999 ax-10 2019 ax-11 2034 ax-12 2047 ax-13 2246 ax-ext 2602 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-tru 1486 df-ex 1705 df-nf 1710 df-sb 1881 df-cleq 2615 df-clel 2618 df-nfc 2753 |
This theorem is referenced by: nfcri 2758 cleqf 2790 abeq2f 2792 bnj1230 30873 bnj1000 31011 bnj1204 31080 bnj1307 31091 bnj1311 31092 bnj1398 31102 bnj1466 31121 bnj1467 31122 bnj1523 31139 |
Copyright terms: Public domain | W3C validator |