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Theorems · Definition · functional analysis

PreQuasiregular.toPi

{ι : Type u_1} →
  (κ : ι → Type u_5) →
    [inst : (i : ι) → NonUnitalSemiring (κ i)] → PreQuasiregular ((i : ι) → κ i) ≃* ((i : ι) → PreQuasiregular (κ i))

The equivalence between pre-quasiregular elements of an indexed product and the indexed product of pre-quasiregular elements.

Defined in
Mathlib.Algebra.Algebra.Spectrum.Pi
Cited by
1 results in Mathlib
Foundations
Depth 16 from the axioms · uses Quot.sound
Assumes
NonUnitalSemiring
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Around this declaration

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

isQuasiregular_pi_iff · cited by 0isQuasiregular_pi_iffMulEquiv · cited by 1142MulEquivNonUnitalSemiring · cited by 339NonUnitalSemiringPreQuasiregular · cited by 18PreQuasiregularPreQuasiregular.val · cited by 6PreQuasiregular.valPreQuasiregular.toPiCITED BYCITES

Cites4

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Cited by1

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