Theorems · Theorem · general algebraic systems
Function.range_subset_insert_image_mulSupport
∀ {ι : Type u_1} {M : Type u_3} [inst : One M] (f : ι → M), Set.range f ⊆ insert 1 (f '' Function.mulSupport f)- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- One
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.imagestatement · cited by 5,609
- Set.rangestatement · cited by 4,705
- Set.mem_image_of_memproof · cited by 371
- Function.mulSupportstatement and proof · cited by 240
Cited by2
Results whose statement or proof uses this declaration.
- range_subset_insert_image_mulTSupportproof · cited by 1
- Function.range_eq_image_or_of_mulSupport_subsetproof · cited by 1