Theorems · Theorem · group theory
Function.support_div
∀ {ι : Type u_1} {G₀ : Type u_3} [inst : GroupWithZero G₀] (f g : ι → G₀),
(Function.support fun a => f a / g a) = Function.support f ∩ Function.support g- Defined in
- Mathlib.Algebra.GroupWithZero.Indicator
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 20 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- GroupWithZero
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- div_eq_mul_invproof · cited by 715
- GroupWithZerostatement and proof · cited by 691
- Function.supportstatement and proof · cited by 610
- Function.support_mulproof · cited by 14
- Function.support_invproof · cited by 3
Cited by4
Results whose statement or proof uses this declaration.
- ContDiffBump.support_normed_eqproof · cited by 5
- exists_contMDiff_support_eq_eq_one_iffproof · cited by 2
- DirichletCharacter.eulerProduct_log_eq_LSeriesproof · cited by 1
- Function.support_div'proof · cited by 0