Metamath Proof Explorer
Description: Bound-variable hypothesis builder for the negative of an extended real
number. (Contributed by Glauco Siliprandi, 2-Jan-2022)
|
|
Ref |
Expression |
|
Hypothesis |
nfxneg.1 |
|- F/_ x A |
|
Assertion |
nfxneg |
|- F/_ x -e A |
Proof
Step |
Hyp |
Ref |
Expression |
1 |
|
nfxneg.1 |
|- F/_ x A |
2 |
1
|
a1i |
|- ( T. -> F/_ x A ) |
3 |
2
|
nfxnegd |
|- ( T. -> F/_ x -e A ) |
4 |
3
|
mptru |
|- F/_ x -e A |