Theorems · Theorem · group theory
Finset.card_le_card_mul_right
∀ {α : Type u_2} [inst : Mul α] [IsRightCancelMul α] [inst_2 : DecidableEq α] {s t : Finset α},
t.Nonempty → s.card ≤ (s * t).card- Cited by
- 3 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Finset.cardstatement and proof · cited by 2,327
- Finset.Nonemptystatement and proof · cited by 1,001
- Finset.mulstatement · cited by 155
- IsRightCancelMulstatement and proof · cited by 43
- mul_left_injectiveproof · cited by 19
- Finset.card_le_card_mul_right_of_injectiveproof · cited by 2
Cited by3
Results whose statement or proof uses this declaration.
- Finset.one_le_mulConstproof · cited by 2
- cauchy_davenport_minOrder_mulproof · cited by 1
- Finset.Nonempty.card_pow_monoproof · cited by 1