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Theorems · Theorem

Function.update_eq_updateFinset

∀ {ι : Type u_1} {π : ι → Sort u_2} {x : (i : ι) → π i} [inst : DecidableEq ι] {i : ι} {y : π i},
  Function.update x i y = Function.updateFinset x {i} (uniqueElim y)
Defined in
Mathlib.Data.Finset.Update
Cited by
3 results in Mathlib
Foundations
Depth 58 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.lmarginal_singleton · cited by 5MeasureTheory.lmarginal_s…DependsOn.update · cited by 0DependsOn.updateFunction.update_updateFinset · cited by 0Function.update_updateFin…Finset · cited by 13712FinsetFunction.update · cited by 502Function.updateFunction.update_self · cited by 201Function.update_selfFunction.update_of_ne · cited by 198Function.update_of_neFunction.updateFinset · cited by 46Function.updateFinsetuniqueElim · cited by 29uniqueElimuniqueElim_default · cited by 1uniqueElim_defaultFunction.update_eq_updateFins…CITED BYCITES

Cites7

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

Cited by3

Results whose statement or proof uses this declaration.