Theorems · Definition · general algebraic systems
Function.mulSupport
{ι : Type u_1} → {M : Type u_3} → [One M] → (ι → M) → Set ιmulSupport of a function is the set of points x such that f x ≠ 1.
- Defined in
- Mathlib.Algebra.Notation.Support
- Cited by
- 240 results in Mathlib
- Foundations
- Depth 4 from the axioms, rests on 13 definitions · uses no axioms
- Assumes
- One
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.ofPredproof · cited by 6,101
Cited by242
Results whose statement or proof uses this declaration.
- Function.HasFiniteMulSupportproof · cited by 99
- Multipliable.hasProdproof · cited by 88
- mulTSupportproof · cited by 41
- finprod_eq_prod_of_mulSupport_subsetstatement and proof · cited by 21
- finprod_of_infinite_mulSupportstatement and proof · cited by 13
- finprod_oneproof · cited by 12
- tprod_defstatement and proof · cited by 11
- finprod_eq_prodstatement · cited by 10
- Function.mulSupport_subset_iff'statement · cited by 10
- Function.mem_mulSupportstatement · cited by 9
- finprod_def'statement · cited by 8
- finprod_mul_distribproof · cited by 8
Showing the 200 most cited of 242.