mirror of
https://github.com/Brandon-Rozek/website.git
synced 2024-11-27 18:28:52 -05:00
Updates
This commit is contained in:
parent
16f621fa0f
commit
01c62273a5
1 changed files with 6 additions and 1 deletions
|
@ -215,7 +215,7 @@ example {p q : Prop} (H_pq : p → q) (H_pnq : p → ¬q) : ¬p := by
|
|||
exact show False from H_nq H_q
|
||||
```
|
||||
|
||||
### Negation Elimination
|
||||
### Double Negation Elimination
|
||||
|
||||
One common representation of negation elimination is to remove any double negations.
|
||||
That is $\neg \neg P$ becomes $P$.
|
||||
|
@ -261,6 +261,8 @@ example {p: Prop} (H_nnp : ¬¬p) : p := by
|
|||
exact show p from False.elim H_false
|
||||
```
|
||||
|
||||
Lean has this theorem built-in with `Classical.not_not`.
|
||||
|
||||
## First Order
|
||||
|
||||
Lean is also capable of reasoning over first order logic. In this section, we'll start seeing objects/terms and predicates instead of just propositions.
|
||||
|
@ -498,3 +500,6 @@ inductions as writing out the cases explicitly can be daunting.
|
|||
|
||||
If you catch any mistakes in me converting this post, let me know.
|
||||
Otherwise feel free to email me if you have any questions.
|
||||
|
||||
Lastly, I want to give my thanks to James Oswald for helping proofread
|
||||
this post and making it better.
|
||||
|
|
Loading…
Reference in a new issue