Mathlib Map

Theorems · Theorem · general algebraic systems

Pi.support_single

∀ {ι : Type u_1} {M : Type u_3} [inst : DecidableEq ι] [inst_1 : Zero M] {i : ι} {a : M} [inst_2 : DecidableEq M],
  Function.support (Pi.single i a) = if a = 0 then ∅ else {i}
Defined in
Mathlib.Algebra.Notation.Support
Cited by
1 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqZeroDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Pi.subsingleton_support_single · cited by 0Pi.subsingleton_support_s…Set · cited by 53352SetFunction.support · cited by 610Function.supportPi.single · cited by 518Pi.singleFunction.support_zero · cited by 12Function.support_zeroPi.single_zero · cited by 10Pi.single_zeroPi.support_single_of_ne · cited by 6Pi.support_single_of_nePi.support_singleCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by1

Results whose statement or proof uses this declaration.