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Theorems · Theorem · combinatorics

Multiset.sub_cons

∀ {α : Type u_1} [inst : DecidableEq α] (a : α) (s t : Multiset α), s - a ::ₘ t = s.erase a - t
Defined in
Mathlib.Data.Multiset.AddSub
Cited by
5 results in Mathlib
Foundations
Depth 25 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.

Multiset.sub_add_inter · cited by 3Multiset.sub_add_interMultiset.sub_le_iff_le_add · cited by 3Multiset.sub_le_iff_le_addMultiset.zero_sub · cited by 2Multiset.zero_subMultiset.antidiagonal_eq_map_powerset · cited by 1Multiset.antidiagonal_eq_…Multiset.filter_sub · cited by 1Multiset.filter_subMultiset · cited by 2627MultisetMultiset.cons · cited by 313Multiset.consMultiset.erase · cited by 93Multiset.eraseMultiset.sub_consCITED BYCITES

Cites3

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Cited by5

Results whose statement or proof uses this declaration.