Theorems · Theorem · general algebraic systems
Function.disjoint_support_iff
∀ {ι : Type u_1} {M : Type u_3} [inst : Zero M] {f : ι → M} {s : Set ι},
Disjoint s (Function.support f) ↔ Set.EqOn f 0 s- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Zero
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 and proof · cited by 53,352
- Disjointstatement · cited by 2,201
- Function.supportstatement · cited by 610
- Set.EqOnstatement and proof · cited by 603
- disjoint_commproof · cited by 49
- Function.support_disjoint_iffproof · cited by 1
Cited by2
Results whose statement or proof uses this declaration.
- notMem_tsupport_iff_eventuallyEqproof · cited by 7
- Urysohns.CU.disjoint_C_support_limproof · cited by 1