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feat(Commutation): prove angularMomentumSqr_commutation_angularMomentum#989

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pitmonticone:aristotle-commutation
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feat(Commutation): prove angularMomentumSqr_commutation_angularMomentum#989
pitmonticone wants to merge 2 commits intoleanprover-community:masterfrom
pitmonticone:aristotle-commutation

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This PR adds proofs autoformalised by @Aristotle-Harmonic.

Co-authored-by: Aristotle (Harmonic) aristotle-harmonic@harmonic.fun

…tum`

Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
Comment on lines +418 to +426
simp only [smul_lie, sum_lie, leibniz_lie]
simp only [angularMomentum_commutation_angularMomentum]
simp only [comp_sub, comp_add, sub_comp, add_comp, comp_smul, smul_comp]
simp only [smul_add, smul_sub, Finset.sum_add_distrib, Finset.sum_sub_distrib,
← Finset.smul_sum]
dsimp only [kroneckerDelta]
simp only [Nat.cast_ite, Nat.cast_one, CharP.cast_eq_zero, mul_ite, mul_one, mul_zero,
ite_smul, zero_smul]
simp_rw [Finset.sum_ite_eq' Finset.univ, Finset.mem_univ, if_true]
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Here also with combining the simps

@jstoobysmith jstoobysmith added the awaiting-author A reviewer has asked the author a question or requested changes label Mar 16, 2026
Co-authored-by: Aristotle (Harmonic) <aristotle-harmonic@harmonic.fun>
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