Theorems · Theorem · combinatorics
Multiset.lt_iff_cons_le
∀ {α : Type u_1} {s t : Multiset α}, s < t ↔ ∃ a, a ::ₘ s ≤ t- Defined in
- Mathlib.Data.Multiset.ZeroCons
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 26 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- le_of_ltproof · cited by 1,175
- lt_of_lt_of_leproof · cited by 438
- Multiset.consstatement and proof · cited by 313
- Multiset.lt_cons_selfproof · cited by 8
- Multiset.card_lt_cardproof · cited by 6
Cited by3
Results whose statement or proof uses this declaration.
- CovBy.exists_multiset_consproof · cited by 2
- Multiset.inter_add_distribproof · cited by 1
- Multiset.lt_replicate_succproof · cited by 1