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Theorems · Theorem · combinatorics

Multiset.add_singleton_eq_iff

∀ {α : Type u_1} [inst : DecidableEq α] {s t : Multiset α} {a : α}, s + {a} = t ↔ a ∈ t ∧ s = t.erase a
Defined in
Mathlib.Data.Multiset.AddSub
Cited by
1 results in Mathlib
Foundations
Depth 21 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
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Around this declaration

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

Relation.cutExpand_fibration · cited by 1Relation.cutExpand_fibrat…Multiset · cited by 2627MultisetMultiset.cons · cited by 313Multiset.consMultiset.erase · cited by 93Multiset.eraseMultiset.mem_cons_self · cited by 44Multiset.mem_cons_selfMultiset.cons_erase · cited by 25Multiset.cons_eraseMultiset.add_comm · cited by 13Multiset.add_commMultiset.singleton_add · cited by 13Multiset.singleton_addMultiset.erase_cons_head · cited by 10Multiset.erase_cons_headMultiset.add_singleton_eq_iffCITED BYCITES

Cites8

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Cited by1

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