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Theorems · Theorem · functional analysis

PreQuasiregular.inv_add_add_mul_eq_zero

∀ {R : Type u_1} [inst : NonUnitalSemiring R] (u : (PreQuasiregular R)ˣ),
  (↑u⁻¹).val + (↑u).val + (↑u).val * (↑u⁻¹).val = 0
Defined in
Mathlib.Algebra.Algebra.Spectrum.Quasispectrum
Cited by
1 results in Mathlib
Foundations
Depth 18 from the axioms · uses propext, Quot.sound
Assumes
NonUnitalSemiring
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

isQuasiregular_iff · cited by 4isQuasiregular_iffUnits · cited by 2804UnitsUnits.val · cited by 1966Units.valNonUnitalSemiring · cited by 339NonUnitalSemiringUnits.mul_inv · cited by 67Units.mul_invPreQuasiregular · cited by 18PreQuasiregularPreQuasiregular.val · cited by 6PreQuasiregular.valPreQuasiregular.inv_add_add_m…CITED BYCITES

Cites6

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Cited by1

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