Mathlib Map

Theorems · Theorem · combinatorics

Finset.image_inter_subset

∀ {α : Type u_1} {β : Type u_2} [inst : DecidableEq β] [inst_1 : DecidableEq α] (f : α → β) (s t : Finset α),
  Finset.image f (s ∩ t) ⊆ Finset.image f s ∩ Finset.image f t
Defined in
Mathlib.Data.Finset.Image
Cited by
4 results in Mathlib
Foundations
Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
DecidableEqDecidableEq
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

Finset.vadd_finset_inter_subset · cited by 0Finset.vadd_finset_inter_…Finset.disjSups_inter_subset_left · cited by 0Finset.disjSups_inter_sub…Finset.disjSups_inter_subset_right · cited by 0Finset.disjSups_inter_sub…Finset.smul_finset_inter_subset · cited by 0Finset.smul_finset_inter_…Finset · cited by 13712FinsetFinset.image · cited by 910Finset.imageMonotone.map_inf_le · cited by 19Monotone.map_inf_leFinset.image_mono · cited by 4Finset.image_monoFinset.image_inter_subsetCITED BYCITES

Cites4

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

Cited by4

Results whose statement or proof uses this declaration.