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Golf proofs and fix typos #21
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Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
have hfnC : Continuous f^[n] := Continuous.iterate hf n | ||
have hfx2' : x ≠ f^[n] x := Ne.symm hfx2 | ||
exact separated_balls (f^[n]) hfnC x hfx2' | ||
lemma separated_ball_image_ball (n : ℕ) (hn : 0 < n) (x : α) (hfx : IsNotPeriodicPt f x) : |
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Is there a particular reason to avoid using have
or intros?
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Not really. It's just that in this case we could shorten the proof by removing them.
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Update toolchain and manifest
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-Authored-By: Lorenzo Luccioli <71074618+lorenzoluccioli@users.noreply.github.com>
Co-authored-by: Marcello Seri <mseri@users.noreply.github.com>
Co-authored-by: Marcello Seri <mseri@users.noreply.github.com>
Co-authored-by: Marcello Seri <mseri@users.noreply.github.com>
Co-authored-by: Marcello Seri <mseri@users.noreply.github.com>
Co-authored-by: Marcello Seri <mseri@users.noreply.github.com>
Thanks for the PR! We looked at it with @oliver-butterley and we think it is time to merge :) |
Thanks @pitmonticone and @LorenzoLuccioli! |
periodicpts_is_mem
periodic_arbitrary_large_time
inter_subset_empty_of_inter_empty
separated_balls
separated_ball_image_ball
separated_balls_along_non_periodic_orbit
ball_non_periodic_arbitrary_large_time
non_periodic_arbitrary_large_time
arbitrary_large_time
is_closed
is_cpt
omegaLimit_nonempty
omegaLimit_nonwandering
nonWandering_nonempty
recurrentSet_iff_accumulation_point
periodicpts_mem_recurrentSet
recurrentSet_nonwandering
recurrentSet_of_minimal_is_all_space
minimalSubset_mem_recurrentSet