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Theorems · Theorem · general algebraic systems

Finsupp.update_self

∀ {α : Type u_1} {M : Type u_5} [inst : Zero M] (f : α →₀ M) (a : α), f.update a (f a) = f
Defined in
Mathlib.Data.Finsupp.Single
Cited by
6 results in Mathlib
Foundations
Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Zero
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Around this declaration

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

Finsupp.single_add_erase · cited by 6Finsupp.single_add_eraseFinsupp.erase_add_single · cited by 3Finsupp.erase_add_singleFinsupp.multinomial_update · cited by 2Finsupp.multinomial_updateFinsupp.sum_update_add · cited by 1Finsupp.sum_update_addFinset.mem_finsuppAntidiag_insert · cited by 1Finset.mem_finsuppAntidia…SkewMonoidAlgebra.update_self · cited by 0SkewMonoidAlgebra.update_…DFunLike.coe · cited by 62936DFunLike.coeFinsupp · cited by 5255FinsuppFinsupp.update · cited by 52Finsupp.updateFinsupp.update_selfCITED BYCITES

Cites3

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Cited by6

Results whose statement or proof uses this declaration.