Theorems · Theorem · combinatorics
Multiset.card_sub
∀ {α : Type u_1} [inst : DecidableEq α] {s t : Multiset α}, t ≤ s → (s - t).card = s.card - t.card- Defined in
- Mathlib.Data.Multiset.AddSub
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 53 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEq
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Multisetstatement and proof · cited by 2,627
- Multiset.cardstatement and proof · cited by 375
- Multiset.card_addproof · cited by 8
- Multiset.sub_add_cancelproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.prod_X_add_C_eq_sum_esymmproof · cited by 3