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Theorems · Theorem · combinatorics

Function.Embedding.nonempty_iff_card_le

∀ {α : Type u_1} {β : Type u_2} [inst : Fintype α] [inst_1 : Fintype β],
  Nonempty (α ↪ β) ↔ Fintype.card α ≤ Fintype.card β
Defined in
Mathlib.Data.Fintype.EquivFin
Cited by
2 results in Mathlib
Foundations
Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeFintype
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

SimpleGraph.isContained_completeEquipartiteGraph_of_colorable · cited by 0SimpleGraph.isContained_c…Equiv.Perm.isMultiplyPretransitive_of_nontrivial · cited by 0Perm.isMultiplyPretransit…Fintype · cited by 7736FintypeFintype.card · cited by 1386Fintype.cardFunction.Embedding · cited by 988Function.EmbeddingFintype.card_le_of_embedding · cited by 11Fintype.card_le_of_embedd…Function.Embedding.nonempty_of_card_le · cited by 6Embedding.nonempty_of_car…Embedding.nonempty_iff_card_leCITED BYCITES

Cites5

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Cited by2

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