Odd Norm Iterated Laplacian Coeff ne zero
Space.oddNormIteratedLaplacianCoeff_ne_zero
Plain-language statement
The scalar factor in the odd-dimensional iterated Laplacian of the norm is nonzero.
Exact Lean statement
lemma oddNormIteratedLaplacianCoeff_ne_zero (m : ℕ) :
oddNormIteratedLaplacianCoeff m ≠ 0Formal artifact
Lean source
lemma oddNormIteratedLaplacianCoeff_ne_zero (m : ℕ) : oddNormIteratedLaplacianCoeff m ≠ 0 := by unfold oddNormIteratedLaplacianCoeff apply mul_ne_zero · rw [Finset.prod_ne_zero_iff] intro k hk exact oddNormIteratedLaplacianCoeff_factor_ne_zero (by simpa using hk) · repeat' apply mul_ne_zero · have h : (1 : ℤ) - 2 * (m : ℤ) ≠ 0 := by omega exact_mod_cast h · exact_mod_cast (by omega : (2 * m + 1 : ℕ) ≠ 0) · exact ne_of_gt <| ENNReal.toReal_pos (Metric.measure_ball_pos volume 0 one_pos).ne' measure_ball_lt_top.ne- Project
- Physlib
- License
- Apache-2.0
- Commit
- dd43e9e65791
- Source
- Physlib/SpaceAndTime/Space/Norm/IteratedLaplacian.lean:66-79
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