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Theorems · Theorem · combinatorics

Finset.coe_injective

∀ {α : Type u_4}, Function.Injective SetLike.coe
Defined in
Mathlib.Data.Finset.Defs
Cited by
127 results in Mathlib
Foundations
Depth 55 from the axioms, rests on 805 definitions · uses propext, Classical.choice, Quot.sound
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Around this declaration

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

Finset.monoid · cited by 20Finset.monoidFinset.addMonoid · cited by 19Finset.addMonoidFinset.map_singleton · cited by 15Finset.map_singletonFinset.image₂_empty_left · cited by 11Finset.image₂_empty_leftFinset.addActionFinset · cited by 10Finset.addActionFinsetFinset.mulActionFinset · cited by 10Finset.mulActionFinsetFinset.image₂_empty_right · cited by 10Finset.image₂_empty_rightFinset.image₂_union_left · cited by 10Finset.image₂_union_leftFinset.image₂_union_right · cited by 10Finset.image₂_union_rightFinset.image_image₂_distrib · cited by 9Finset.image_image₂_distr…Finset.powerset_univ · cited by 6Finset.powerset_univFunction.Injective.tprod_eq · cited by 6Injective.tprod_eqFunction.Injective.tsum_eq · cited by 6Injective.tsum_eqFinset.mulOneClass · cited by 6Finset.mulOneClassSet.Finite.toFinset_image2 · cited by 5Finite.toFinset_image2Set · cited by 53352SetFinset · cited by 13712FinsetSetLike.coe · cited by 8199SetLike.coeFinset.coe_inj · cited by 41Finset.coe_injFinset.coe_injectiveCITED BYCITES

Cites4

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

Cited by149

Results whose statement or proof uses this declaration.