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Theorems · Theorem · commutative algebra

IsSMulRegular.pi

∀ {I : Type u} {f : I → Type v} {α : Type u_1} [inst : (i : I) → SMul α (f i)] {k : α},
  (∀ (i : I), IsSMulRegular (f i) k) → IsSMulRegular ((i : I) → f i) k
Defined in
Mathlib.Algebra.Module.Pi
Cited by
3 results in Mathlib
Foundations
Depth 5 from the axioms · uses Quot.sound
Assumes
SMul
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Around this declaration

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

IsSMulRegular.matrix · cited by 2IsSMulRegular.matrixMatrix.rank_smul_of_mem_nonZeroDivisors · cited by 1Matrix.rank_smul_of_mem_n…RootPairing.reflectionPerm_eq_reflectionPerm_iff_of_isSMulRegular · cited by 0RootPairing.reflectionPer…IsSMulRegular · cited by 128IsSMulRegularIsSMulRegular.piCITED BYCITES

Cites1

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Cited by3

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