def
definition
def or abbrev
IsSymmetryOf
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46def IsSymmetryOf {X : Type*} (T : X → X) (J : X → ℝ) : Prop :=
proof body
Definition body.
47 ∀ x : X, J (T x) = J x
48
49/-- **THEOREM**: The identity is always a symmetry. -/
used by (13)
-
isSpaceTranslationInvariant -
isTimeTranslationInvariant -
space_translation_invariance_implies_momentum_conservation -
time_translation_invariance_implies_energy_conservation -
id_is_symmetry -
invariant_is_noether_charge -
noether_core -
noether_summary -
phase_invariance_implies_conservation -
space_invariance_implies_conservation -
symmetry_comp -
symmetry_inv -
time_invariance_implies_conservation