Theorems · Theorem · logic and foundations
HasCardinalLT.of_surjective
∀ {X : Type u} {κ : Cardinal.{v}},
HasCardinalLT X κ → ∀ {Y : Type u'} (f : X → Y), Function.Surjective f → HasCardinalLT Y κ- Defined in
- Mathlib.SetTheory.Cardinal.HasCardinalLT
- Cited by
- 7 results in Mathlib
- Foundations
- Depth 71 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.
- Cardinalstatement and proof · cited by 2,598
- Cardinal.mkproof · cited by 942
- Cardinal.liftproof · cited by 583
- lt_of_le_of_ltproof · cited by 432
- HasCardinalLTstatement and proof · cited by 99
- Cardinal.lift_liftproof · cited by 53
- Cardinal.lift_ltproof · cited by 39
- Cardinal.mk_le_of_surjectiveproof · cited by 14
- ULift.up_surjectiveproof · cited by 4
- ULift.down_surjectiveproof · cited by 4
Cited by7
Results whose statement or proof uses this declaration.
- hasCardinalLT_prodproof · cited by 2
- hasCardinalLT_sigmaproof · cited by 2
- hasCardinalLT_subtype_iSupproof · cited by 2
- hasCardinalLT_subtype_maxproof · cited by 1
- CategoryTheory.ObjectProperty.hasCardinalLT_subtype_ofObjproof · cited by 0
- CategoryTheory.MorphismProperty.hasCardinalLT_ofHomsproof · cited by 0