Theorems · Theorem · logic and foundations
Cardinal.mk_image2_le
∀ {α β γ : Type u} {f : α → β → γ} {s : Set α} {t : Set β},
Cardinal.mk ↑(Set.image2 f s t) ≤ Cardinal.mk ↑s * Cardinal.mk ↑t- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 24 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites10
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
- Set.imageproof · cited by 5,609
- Cardinalstatement and proof · cited by 2,598
- SProd.sprodproof · cited by 1,750
- Cardinal.mkstatement and proof · cited by 942
- Set.image2statement · cited by 311
- Cardinal.mk_image_leproof · cited by 8
- Set.image_uncurry_prodproof · cited by 4
- Cardinal.mk_setProdproof · cited by 2
Cited by4
Results whose statement or proof uses this declaration.
- Cardinal.mk_add_leproof · cited by 2
- Cardinal.mk_mul_leproof · cited by 2
- Cardinal.mk_sub_leproof · cited by 0
- Cardinal.mk_div_leproof · cited by 0