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

reactor: Removal of double spaces

Browse source
This commit is contained in:
jstoobysmith 2024-07-12 11:23:02 -04:00
parent ce92e1d649
commit 13f62a50eb
64 changed files with 550 additions and 546 deletions
Download patch file Download diff file Expand all files Collapse all files

6
HepLean/SpaceTime/LorentzGroup/Orthochronous.lean
View file

@ -27,7 +27,7 @@ variable (Λ : LorentzGroup d)
open LorentzVector
open minkowskiMetric
/-- A Lorentz transformation is `orthochronous` if its `0 0` element is non-negative. -/
/-- A Lorentz transformation is `orthochronous` if its `0 0` element is non-negative. -/
def IsOrthochronous : Prop := 0 ≤ timeComp Λ
lemma IsOrthochronous_iff_futurePointing :
@ -62,7 +62,7 @@ lemma not_orthochronous_iff_le_zero :
linarith
/-- The continuous map taking a Lorentz transformation to its `0 0` element. -/
def timeCompCont : C(LorentzGroup d, ℝ) := ⟨fun Λ => timeComp Λ ,
def timeCompCont : C(LorentzGroup d, ℝ) := ⟨fun Λ => timeComp Λ,
Continuous.matrix_elem (continuous_iff_le_induced.mpr fun _ a => a) (Sum.inl 0) (Sum.inl 0)⟩
/-- An auxillary function used in the definition of `orthchroMapReal`. -/
@ -75,7 +75,7 @@ lemma stepFunction_continuous : Continuous stepFunction := by
<;> intro a ha
rw [@Set.Iic_def, @frontier_Iic, @Set.mem_singleton_iff] at ha
rw [ha]
simp [neg_lt_self_iff, zero_lt_one, ↓reduceIte]
simp [neg_lt_self_iff, zero_lt_one, ↓reduceIte]
have h1 : ¬ (1 : ℝ) ≤ 0 := by simp
exact Eq.symm (if_neg h1)
rw [Set.Ici_def, @frontier_Ici, @Set.mem_singleton_iff] at ha