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Theorems · Theorem · combinatorics

Multiset.Pi.cons_injective

∀ {α : Type u_1} [inst : DecidableEq α] {δ : α → Sort u_2} {a : α} {b : δ a} {s : Multiset α},
  a ∉ s → Function.Injective (Multiset.Pi.cons s a b)
Defined in
Mathlib.Data.Multiset.Pi
Cited by
3 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Quot.sound
Assumes
DecidableEq
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Finset.pi_insert · cited by 1Finset.pi_insertFinset.Pi.cons_injective · cited by 1Pi.cons_injectiveMultiset.Nodup.pi · cited by 0Nodup.piMultiset · cited by 2627MultisetMultiset.cons · cited by 313Multiset.consMultiset.mem_cons_of_mem · cited by 35Multiset.mem_cons_of_memMultiset.mem_cons · cited by 29Multiset.mem_consMultiset.Pi.cons · cited by 14Pi.consMultiset.Pi.cons_ne · cited by 5Pi.cons_nePi.cons_injectiveCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by3

Results whose statement or proof uses this declaration.