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chore: Bump to lean v.4.12.0

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jstoobysmith 2024-10-03 13:50:18 +00:00
parent 47d9649c44
commit 987bbf6013
23 changed files with 92 additions and 58 deletions
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16
HepLean/SpaceTime/LorentzVector/AsSelfAdjointMatrix.lean
View file

@ -98,20 +98,36 @@ noncomputable def toSelfAdjointMatrix :
· rw [show (x + y) (Sum.inl 0) = x (Sum.inl 0) + y (Sum.inl 0) from rfl]
rw [show (x + y) (Sum.inr 2) = x (Sum.inr 2) + y (Sum.inr 2) from rfl]
simp only [Fin.isValue, ofReal_add, Fin.zero_eta, cons_val_zero]
simp only [Fin.isValue, toSelfAdjointMatrix', toMatrix, LorentzVector.time,
LorentzVector.space, Function.comp_apply, AddMemClass.mk_add_mk, of_add_of, add_cons,
head_cons, tail_cons, empty_add_empty, of_apply, cons_val', cons_val_zero, empty_val',
cons_val_fin_one]
ring
· rw [show (x + y) (Sum.inr 0) = x (Sum.inr 0) + y (Sum.inr 0) from rfl]
rw [show (x + y) (Sum.inr 1) = x (Sum.inr 1) + y (Sum.inr 1) from rfl]
simp only [Fin.isValue, ofReal_add, Fin.mk_one, cons_val_one, head_cons, Fin.zero_eta,
cons_val_zero]
simp only [Fin.isValue, toSelfAdjointMatrix', toMatrix, LorentzVector.time,
LorentzVector.space, Function.comp_apply, AddMemClass.mk_add_mk, of_add_of, add_cons,
head_cons, tail_cons, empty_add_empty, of_apply, cons_val', cons_val_one, empty_val',
cons_val_fin_one, cons_val_zero]
ring
· rw [show (x + y) (Sum.inr 0) = x (Sum.inr 0) + y (Sum.inr 0) from rfl]
rw [show (x + y) (Sum.inr 1) = x (Sum.inr 1) + y (Sum.inr 1) from rfl]
simp only [Fin.isValue, ofReal_add, Fin.zero_eta, cons_val_zero, Fin.mk_one, cons_val_one,
head_fin_const]
simp only [Fin.isValue, toSelfAdjointMatrix', toMatrix, LorentzVector.time,
LorentzVector.space, Function.comp_apply, AddMemClass.mk_add_mk, of_add_of, add_cons,
head_cons, tail_cons, empty_add_empty, of_apply, cons_val', cons_val_zero, empty_val',
cons_val_fin_one, cons_val_one, head_fin_const]
ring
· rw [show (x + y) (Sum.inl 0) = x (Sum.inl 0) + y (Sum.inl 0) from rfl]
rw [show (x + y) (Sum.inr 2) = x (Sum.inr 2) + y (Sum.inr 2) from rfl]
simp only [Fin.isValue, ofReal_add, Fin.mk_one, cons_val_one, head_cons, head_fin_const]
simp only [Fin.isValue, toSelfAdjointMatrix', toMatrix, LorentzVector.time,
LorentzVector.space, Function.comp_apply, AddMemClass.mk_add_mk, of_add_of, add_cons,
head_cons, tail_cons, empty_add_empty, of_apply, cons_val', cons_val_one, empty_val',
cons_val_fin_one, head_fin_const]
ring
map_smul' r x := by
ext i j : 2

3
HepLean/SpaceTime/LorentzVector/Basic.lean
View file

@ -97,7 +97,8 @@ noncomputable abbrev timeVec : (LorentzVector d) := e (Sum.inl 0)
lemma timeVec_space : (@timeVec d).space = 0 := by
funext i
simp only [space, Function.comp_apply, stdBasis_apply, Fin.isValue, ↓reduceIte, PiLp.zero_apply]
simp only [space, Function.comp_apply, stdBasis_apply, Fin.isValue, reduceCtorEq, ↓reduceIte,
PiLp.zero_apply]
lemma timeVec_time: (@timeVec d).time = 1 := by
simp only [time, Fin.isValue, stdBasis_apply, ↓reduceIte]

1
HepLean/SpaceTime/LorentzVector/NormOne.lean
View file

@ -156,6 +156,7 @@ lemma one_add_metric_non_zero : 1 + ⟪f, f'.1.1⟫ₘ ≠ 0 := by
section
variable {v w : NormOneLorentzVector d}
open InnerProductSpace
lemma metric_reflect_mem_mem (h : v ∈ FuturePointing d) (hw : w ∈ FuturePointing d) :
0 ≤ ⟪v.1, w.1.spaceReflection⟫ₘ := by