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Theorems · Definition · combinatorics

Multiset.Pi.empty

{α : Type u_1} → (δ : α → Sort u_3) → (a : α) → a ∈ 0 → δ a

Given δ : α → Sort*, Pi.empty δ is the trivial dependent function out of the empty multiset.

Defined in
Mathlib.Data.Multiset.Pi
Cited by
5 results in Mathlib
Foundations
Depth 16 from the axioms · uses propext
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Around this declaration

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

Multiset.pi · cited by 9Multiset.piFinset.Pi.empty · cited by 4Pi.emptyMultiset.mem_pi · cited by 2Multiset.mem_piMultiset.card_pi · cited by 1Multiset.card_piMultiset.pi_zero · cited by 0Multiset.pi_zeroMultiset.Nodup.pi · cited by 0Nodup.piMultiset.Pi.empty.congr_simp · cited by 0empty.congr_simpMultiset · cited by 2627MultisetPi.emptyCITED BYCITES

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Cited by7

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