Theorems · Theorem · general algebraic systems
Function.range_subset_insert_image_support
∀ {ι : Type u_1} {M : Type u_3} [inst : Zero M] (f : ι → M), Set.range f ⊆ insert 0 (f '' Function.support f)- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 13 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.
Cites7
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
- Function.supportstatement and proof · cited by 610
- Set.mem_image_of_memproof · cited by 371
- Set.range_subset_iffproof · cited by 99
- Set.mem_insert_iffproof · cited by 39
Cited by2
Results whose statement or proof uses this declaration.
- range_subset_insert_image_tsupportproof · cited by 1
- Function.range_eq_image_or_of_support_subsetproof · cited by 1