Theorems · Theorem · logic and foundations
Cardinal.mk_add_le
∀ {M : Type u_2} [inst : Add M] {s t : Set M}, Cardinal.mk ↑(s + t) ≤ Cardinal.mk ↑s * Cardinal.mk ↑t- Defined in
- Mathlib.Algebra.Group.Pointwise.Set.Card
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 25 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Add
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.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement and proof · cited by 942
- Set.addstatement · cited by 338
- Set.image2_addproof · cited by 6
- Cardinal.mk_image2_leproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- HahnSeries.cardSupp_mul_leproof · cited by 4
- Set.natCard_add_leproof · cited by 1