Theorems · Theorem · combinatorics
Finset.card_le_card_of_injective
∀ {α : Type u_1} {β : Type u_2} {s : Finset α} {t : Finset β} {f : ↥s → ↥t}, Function.Injective f → s.card ≤ t.card- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 80 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finsetstatement and proof · cited by 13,712
- SetLike.coeproof · cited by 8,199
- Finset.cardstatement and proof · cited by 2,327
- Finset.Nonemptyproof · cited by 1,001
- Finset.eq_empty_or_nonemptyproof · cited by 104
- Finset.mem_coeproof · cited by 91
- Finset.card_le_card_of_injOnproof · cited by 16
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