Theorems · Theorem · combinatorics
Multiset.rel_replicate_left
∀ {α : Type u_1} {m : Multiset α} {a : α} {r : α → α → Prop} {n : ℕ},
Multiset.Rel r (Multiset.replicate n a) m ↔ m.card = n ∧ ∀ x ∈ m, r a x- Defined in
- Mathlib.Data.Multiset.Replicate
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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.replicatestatement and proof · cited by 88
- Multiset.Relstatement and proof · cited by 47
- Multiset.card_replicateproof · cited by 12
- Multiset.eq_of_mem_replicateproof · cited by 10
- Multiset.rel_flipproof · cited by 6
- Multiset.card_eq_card_of_relproof · cited by 5
- Multiset.exists_mem_of_rel_of_memproof · cited by 4
- Multiset.rel_of_forallproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Multiset.rel_replicate_rightproof · cited by 0