Theorems · Theorem · combinatorics
Multiset.lt_replicate_succ
∀ {α : Type u_1} {m : Multiset α} {x : α} {n : ℕ}, m < Multiset.replicate (n + 1) x ↔ m ≤ Multiset.replicate n x- Defined in
- Mathlib.Data.Multiset.Replicate
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 27 from the axioms · uses propext, 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.consproof · cited by 313
- Multiset.replicatestatement and proof · cited by 88
- Multiset.mem_cons_selfproof · cited by 44
- Multiset.mem_of_leproof · cited by 17
- Multiset.eq_of_mem_replicateproof · cited by 10
- Multiset.cons_le_cons_iffproof · cited by 7
- Multiset.cons_le_consproof · cited by 6
- Multiset.lt_iff_cons_leproof · cited by 3
- Multiset.replicate_succproof · cited by 2
Cited by1
Results whose statement or proof uses this declaration.
- Ideal.eq_prime_pow_of_succ_lt_of_leproof · cited by 1