Theorems · Theorem · order theory
Function.mulSupport_iSup
∀ {ι : Sort u_1} {α : Type u_2} {M : Type u_3} [inst : One M] [inst_1 : ConditionallyCompleteLattice M] [Nonempty ι]
(f : ι → α → M), (Function.mulSupport fun x => ⨆ i, f i x) ⊆ ⋃ i, Function.mulSupport (f i)- Defined in
- Mathlib.Algebra.Order.Group.Indicator
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Set.iUnionstatement · cited by 2,483
- iSupstatement and proof · cited by 2,415
- ConditionallyCompleteLatticestatement and proof · cited by 364
- Function.mulSupportstatement · cited by 240
- ciSup_constproof · cited by 43
Cited by2
Results whose statement or proof uses this declaration.
- Function.mulSupport_iInfproof · cited by 1
- Function.HasFiniteMulSupport.iSupproof · cited by 0