Theorems · Theorem · group theory
Finset.card_le_card_add_right
∀ {α : Type u_2} [inst : Add α] [IsRightCancelAdd α] [inst_2 : DecidableEq α] {s t : Finset α},
t.Nonempty → s.card ≤ (s + t).card- Cited by
- 4 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.addstatement · cited by 133
- IsRightCancelAddstatement and proof · cited by 69
- add_left_injectiveproof · cited by 49
- Finset.card_le_card_add_right_of_injectiveproof · cited by 1
Cited by4
Results whose statement or proof uses this declaration.
- cauchy_davenport_minOrder_addproof · cited by 2
- Finset.nonneg_addConstproof · cited by 2
- Finset.Nonempty.card_nsmul_monoproof · cited by 1
- Finset.card_le_card_add_self'proof · cited by 0