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Theorems · Theorem

List.keys_kerase

∀ {α : Type u} {β : α → Type v} [inst : DecidableEq α] {a : α} {l : List (Sigma β)},
  (List.kerase a l).keys = l.keys.erase a
Defined in
Mathlib.Data.List.Sigma
Cited by
4 results in Mathlib
Foundations
Depth 14 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.

Finmap.keys_erase_toFinset · cited by 1Finmap.keys_erase_toFinsetAList.keys_erase · cited by 1AList.keys_eraseList.nodupKeys_dedupKeys · cited by 1List.nodupKeys_dedupKeysAList.keys_insert · cited by 0AList.keys_insertList.keys · cited by 46List.keysList.kerase · cited by 41List.keraseList.keys_keraseCITED BYCITES

Cites2

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

Cited by4

Results whose statement or proof uses this declaration.