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chore: Bump to 4.14.0

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jstoobysmith 2024-12-10 13:44:39 +00:00
parent c91ca06272
commit 5dfd29ab8d
32 changed files with 376 additions and 334 deletions
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6
HepLean/Lorentz/Group/Basic.lean
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@ -241,17 +241,19 @@ lemma toProd_continuous : Continuous (@toProd d) := by
MulOpposite.continuous_op.comp' ((continuous_const.matrix_mul (continuous_iff_le_induced.mpr
fun U a => a).matrix_transpose).matrix_mul continuous_const)⟩
open Topology
/-- The embedding from the Lorentz Group into the monoid of matrices times the opposite of
the monoid of matrices. -/
lemma toProd_embedding : IsEmbedding (@toProd d) where
inj := toProd_injective
injective := toProd_injective
eq_induced :=
(isInducing_iff ⇑toProd).mp (IsInducing.of_comp toProd_continuous continuous_fst
((isInducing_iff (Prod.fst ∘ ⇑toProd)).mpr rfl))
/-- The embedding from the Lorentz Group into `GL (Fin 4) ℝ`. -/
lemma toGL_embedding : IsEmbedding (@toGL d).toFun where
inj := toGL_injective
injective := toGL_injective
eq_induced := by
refine ((fun {X} {t t'} => TopologicalSpace.ext_iff.mpr) fun _ ↦ ?_).symm
rw [TopologicalSpace.ext_iff.mp toProd_embedding.eq_induced _, isOpen_induced_iff,