This is an inofficial mirror of http://metamath.tirix.org for personal testing of a visualizer extension only.
Metamath Proof Explorer
Description: Utility theorem: self-referencing, index-independent form of df-ple .
(Contributed by NM, 9-Nov-2012) (Revised by AV, 9-Sep-2021)
|
|
Ref |
Expression |
|
Assertion |
pleid |
⊢ le = Slot ( le ‘ ndx ) |
Proof
| Step |
Hyp |
Ref |
Expression |
| 1 |
|
df-ple |
⊢ le = Slot ; 1 0 |
| 2 |
|
10nn |
⊢ ; 1 0 ∈ ℕ |
| 3 |
1 2
|
ndxid |
⊢ le = Slot ( le ‘ ndx ) |