DibyashanuPati/PhysLean
1
0
Fork 0
Code Issues Pull requests Projects Releases Packages Wiki Activity Actions

clean mathematics

Browse source
This commit is contained in:
Pietro Monticone 2025-01-14 00:11:17 +01:00
parent fa425ef606
commit d911b3b0f9
5 changed files with 9 additions and 9 deletions
Download patch file Download diff file Expand all files Collapse all files

6
HepLean/Mathematics/Fin/Involutions.lean
View file

@ -291,11 +291,11 @@ lemma involutionAddEquiv_isSome_image_zero {n : ℕ} :
## Equivalences of involutions with no fixed points.
The main aim of thes equivalences is to define `involutionNoFixedZeroEquivProd`.
The main aim of these equivalences is to define `involutionNoFixedZeroEquivProd`.
-/
/-- Fixed point free involutions of `Fin n.succ` can be seperated based on where they sent
/-- Fixed point free involutions of `Fin n.succ` can be separated based on where they sent
`0`. -/
def involutionNoFixedEquivSum {n : ℕ} :
{f : Fin n.succ → Fin n.succ // Function.Involutive f
@ -544,7 +544,7 @@ def involutionNoFixedEquivSumSame {n : ℕ} :
refine Equiv.trans involutionNoFixedEquivSum ?_
refine Equiv.sigmaCongrRight involutionNoFixedZeroSetEquiv
/-- Ever fixed-point free involutions of `Fin n.succ.succ` can be decomponsed into a
/-- Ever fixed-point free involutions of `Fin n.succ.succ` can be decomposed into a
element of `Fin n.succ` (where `0` is sent) and a fixed-point free involution of
`Fin n`. -/
def involutionNoFixedZeroEquivProd {n : ℕ} :