Theorems · Theorem · logic and foundations
Cardinal.mk_subtype_le_of_subset
∀ {α : Type u} {p q : α → Prop}, (∀ ⦃x : α⦄, p x → q x) → Cardinal.mk (Subtype p) ≤ Cardinal.mk (Subtype q)- Defined in
- Mathlib.SetTheory.Cardinal.Basic
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 21 from the axioms · uses propext, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Cardinalstatement · cited by 2,598
- Cardinal.mkstatement · cited by 942
- Function.Embedding.reflproof · cited by 29
- Function.Embedding.subtypeMapproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Cardinal.mk_subset_mk_lt_cofproof · cited by 0