Theorems · Theorem · logic and foundations
Set.natCard_div_le
∀ {G : Type u_1} [inst : Group G] {s t : Set G}, Nat.card ↑(s / t) ≤ Nat.card ↑s * Nat.card ↑t- Defined in
- Mathlib.Algebra.Group.Pointwise.Set.Card
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 96 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Group
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Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Groupstatement and proof · cited by 6,238
- Nat.cardstatement and proof · cited by 844
- div_eq_mul_invproof · cited by 715
- Set.divstatement · cited by 112
- Set.natCard_invproof · cited by 1
- Set.natCard_mul_leproof · cited by 1
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