Theorems · Theorem · combinatorics
Set.powersetCard.coe_nontrivial_iff
∀ {α : Type u_1} {n : ℕ} {s : ↑(Set.powersetCard α n)}, (↑s).Nontrivial ↔ 1 < n- Defined in
- Mathlib.Data.Set.PowersetCard
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
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- Setproof · cited by 53,352
- Finsetstatement · cited by 13,712
- SetLike.coestatement · cited by 8,199
- Set.Elemstatement and proof · cited by 7,166
- Set.Nontrivialstatement and proof · cited by 145
- Set.powersetCardstatement and proof · cited by 100
- Finset.one_lt_card_iff_nontrivialproof · cited by 6
- Finset.nontrivial_coeproof · cited by 3
- Set.powersetCard.coe_coeproof · cited by 3
- Set.powersetCard.card_eqproof · cited by 2
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