Theorems · Theorem · combinatorics
Multiset.rel_zero_left
∀ {α : Type u_1} {β : Type v} {r : α → β → Prop} {b : Multiset β}, Multiset.Rel r 0 b ↔ b = 0- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 19 from the axioms · uses propext, Quot.sound
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.consproof · cited by 313
- Multiset.Relstatement and proof · cited by 47
- Multiset.rel_iffproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- prime_factors_uniqueproof · cited by 3
- Multiset.Rel.transproof · cited by 0
- Multiset.Rel.countP_eqproof · cited by 0