Theorems · Theorem · combinatorics
Finset.subset_iff_eq_of_card_le
∀ {α : Type u_1} {s t : Finset α}, t.card ≤ s.card → (s ⊆ t ↔ s = t)- Defined in
- Mathlib.Data.Finset.Card
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 57 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
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
- Finset.cardstatement and proof · cited by 2,327
- Eq.subsetproof · cited by 124
- Finset.eq_of_subset_of_card_leproof · cited by 34
Cited by5
Results whose statement or proof uses this declaration.
- AddAction.mem_stabilizer_finset_iff_subset_vadd_finsetproof · cited by 2
- MulAction.mem_stabilizer_finset_iff_subset_smul_finsetproof · cited by 2
- AddAction.mem_stabilizer_finset_iff_vadd_finset_subsetproof · cited by 1
- MulAction.mem_stabilizer_finset_iff_smul_finset_subsetproof · cited by 1
- Set.powersetCard.eq_iff_subsetproof · cited by 1