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Theorems · Theorem · combinatorics

Finset.biUnion_mono

∀ {α : Type u_1} {β : Type u_2} {s : Finset α} {t₁ t₂ : α → Finset β} [inst : DecidableEq β],
  (∀ a ∈ s, t₁ a ⊆ t₂ a) → s.biUnion t₁ ⊆ s.biUnion t₂
Defined in
Mathlib.Data.Finset.Union
Cited by
3 results in Mathlib
Foundations
Depth 76 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEq
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Around this declaration

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

Finsupp.mapDomain_support · cited by 10Finsupp.mapDomain_supportMvPolynomial.vars_bind₁ · cited by 1MvPolynomial.vars_bind₁Finset.card_biUnion_le_of_intersecting · cited by 0Finset.card_biUnion_le_of…Finset · cited by 13712FinsetFinset.biUnion · cited by 217Finset.biUnionFinset.biUnion_monoCITED BYCITES

Cites2

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Cited by3

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