Metamath Proof Explorer |
< Previous
Next >
Nearby theorems |
||
Mirrors > Home > MPE Home > Th. List > nfandOLD | Structured version Visualization version Unicode version |
Description: Obsolete proof of nfand 1826 as of 6-Oct-2021. (Contributed by Mario Carneiro, 7-Oct-2016.) (New usage is discouraged.) (Proof modification is discouraged.) |
Ref | Expression |
---|---|
nfandOLD.1 | |
nfandOLD.2 |
Ref | Expression |
---|---|
nfandOLD |
Step | Hyp | Ref | Expression |
---|---|---|---|
1 | df-an 386 | . 2 | |
2 | nfandOLD.1 | . . . 4 | |
3 | nfandOLD.2 | . . . . 5 | |
4 | 3 | nfndOLD 2211 | . . . 4 |
5 | 2, 4 | nfimdOLD 2226 | . . 3 |
6 | 5 | nfndOLD 2211 | . 2 |
7 | 1, 6 | nfxfrdOLD 1838 | 1 |
Colors of variables: wff setvar class |
Syntax hints: wn 3 wi 4 wa 384 wnfOLD 1709 |
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 |
This theorem depends on definitions: df-bi 197 df-or 385 df-an 386 df-ex 1705 df-nf 1710 df-nfOLD 1721 |
This theorem is referenced by: nf3andOLD 2233 nfbidOLD 2242 |
Copyright terms: Public domain | W3C validator |