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Theorems · Theorem · general algebraic systems

Pi.mulSupport_mulSingle

∀ {ι : Type u_1} {M : Type u_3} [inst : DecidableEq ι] [inst_1 : One M] {i : ι} {a : M} [inst_2 : DecidableEq M],
  Function.mulSupport (Pi.mulSingle i a) = if a = 1 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
DecidableEqOneDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Pi.subsingleton_mulSupport_mulSingle · cited by 0Pi.subsingleton_mulSuppor…Set · cited by 53352SetFunction.mulSupport · cited by 240Function.mulSupportPi.mulSingle · cited by 111Pi.mulSingleFunction.mulSupport_one · cited by 5Function.mulSupport_onePi.mulSingle_one · cited by 4Pi.mulSingle_onePi.mulSupport_mulSingle_of_ne · cited by 2Pi.mulSupport_mulSingle_o…Pi.mulSupport_mulSingleCITED BYCITES

Cites6

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Cited by1

Results whose statement or proof uses this declaration.