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Theorems · Theorem · combinatorics

Fintype.card_lt_of_injective_not_surjective

∀ {α : Type u_1} {β : Type u_2} [inst : Fintype α] [inst_1 : Fintype β] (f : α → β),
  Function.Injective f → ¬Function.Surjective f → Fintype.card α < Fintype.card β
Defined in
Mathlib.Data.Fintype.Card
Cited by
2 results in Mathlib
Foundations
Depth 60 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
FintypeFintype
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Set.card_lt_card · cited by 2Set.card_lt_cardFintype.card_lt_of_surjective_not_injective · cited by 0Fintype.card_lt_of_surjec…Fintype · cited by 7736FintypeFintype.card · cited by 1386Fintype.cardFintype.card_lt_of_injective_of_notMem · cited by 4Fintype.card_lt_of_inject…Fintype.card_lt_of_injective_…CITED BYCITES

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