feat(Analysis/SpecialFunctions/Complex/Log): natural number versions of exp_eq_one_iff#38015
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riccardobrasca wants to merge 4 commits intoleanprover-community:masterfrom
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feat(Analysis/SpecialFunctions/Complex/Log): natural number versions of exp_eq_one_iff#38015riccardobrasca wants to merge 4 commits intoleanprover-community:masterfrom
riccardobrasca wants to merge 4 commits intoleanprover-community:masterfrom
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…f exp_eq_one_iff Add `Complex.exp_eq_one_iff_of_im_nonneg`, a variant of `Complex.exp_eq_one_iff` that produces a natural number instead of an integer, under the hypothesis that the imaginary part is nonneg. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
PR summary bdd1fc861bImport changes for modified filesNo significant changes to the import graph Import changes for all files
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You can run this locally as follows## summary with just the declaration names:
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./scripts/pr_summary/declarations_diff.sh long <optional_commit>The doc-module for No changes to technical debt.You can run this locally as
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…ff N divides k Add `Complex.exp_two_pi_mul_I_mul_div_eq_one_iff`: for natural numbers `k` and `N` with `N ≠ 0`, `exp (2 * π * I * k / N) = 1 ↔ N ∣ k`. Co-Authored-By: Claude Opus 4.6 <noreply@anthropic.com>
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Add two lemmas:
Complex.exp_eq_one_iff_of_im_nonneg, a variant ofComplex.exp_eq_one_iffthat gives a natural number instead of an integer, under the hypothesis that the imaginary part is nonneg.Complex.exp_two_pi_mul_I_mul_div_eq_one_iff, showing thatexp (2πik/N) = 1if and only ifN ∣ k.🤖 Generated with Claude Code