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Theorems · Theorem · logic and foundations

Finite.card_le_of_embedding

∀ {α : Type u_1} {β : Type u_2} [Finite β] (f : α ↪ β), Nat.card α ≤ Nat.card β
Defined in
Mathlib.SetTheory.Cardinal.NatCard
Cited by
1 results in Mathlib
Foundations
Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
Finite
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Around this declaration

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

Subgroup.index_center_le_pow · cited by 1Subgroup.index_center_le_…DFunLike.coe · cited by 62936DFunLike.coeFinite · cited by 3029FiniteFunction.Embedding · cited by 988Function.EmbeddingNat.card · cited by 844Nat.cardFunction.Embedding.injective · cited by 111Embedding.injectiveNat.card_le_card_of_injective · cited by 19Nat.card_le_card_of_injec…Finite.card_le_of_embeddingCITED BYCITES

Cites6

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Cited by1

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