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Commit
2022-06-10 07:36
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feat(dynamics/periodic_pts): Orbit under periodic function (
#12976
)
Estimated changes
Modified
src/dynamics/periodic_pts.lean
added
theorem
function.eq_iff_lt_minimal_period_of_iterate_eq
added
theorem
function.eq_of_lt_minimal_period_of_iterate_eq
modified
theorem
function.is_periodic_pt.minimal_period_dvd
modified
theorem
function.is_periodic_pt_iff_minimal_period_dvd
modified
theorem
function.is_periodic_pt_minimal_period
added
theorem
function.iterate_add_minimal_period_eq
deleted
theorem
function.iterate_eq_mod_minimal_period
deleted
theorem
function.iterate_injective_of_lt_minimal_period
added
theorem
function.iterate_mem_periodic_orbit
modified
theorem
function.iterate_minimal_period
added
theorem
function.iterate_mod_minimal_period_eq
added
theorem
function.le_of_lt_minimal_period_of_iterate_eq
added
theorem
function.mem_periodic_orbit_iff
added
theorem
function.minimal_period_apply
added
theorem
function.minimal_period_apply_iterate
added
theorem
function.minimal_period_eq_zero_iff_nmem_periodic_pts
added
theorem
function.minimal_period_eq_zero_of_nmem_periodic_pts
added
theorem
function.nodup_periodic_orbit
added
def
function.periodic_orbit
added
theorem
function.periodic_orbit_apply_eq
added
theorem
function.periodic_orbit_apply_iterate_eq
added
theorem
function.periodic_orbit_def
added
theorem
function.periodic_orbit_eq_cycle_map
added
theorem
function.periodic_orbit_eq_nil_iff_not_periodic_pt
added
theorem
function.periodic_orbit_eq_nil_of_not_periodic_pt
added
theorem
function.periodic_orbit_length
added
theorem
function.self_mem_periodic_orbit
Modified
src/group_theory/order_of_element.lean