Theorems · Theorem · logic and foundations
not_surjective_of_ordinal
∀ {α : Type u_1} [Small.{u, u_1} α] (f : α → Ordinal.{u}), ¬Function.Surjective f- Defined in
- Mathlib.SetTheory.Ordinal.Family
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Small
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.
- iSupproof · cited by 2,415
- Ordinalstatement and proof · cited by 1,688
- Order.succproof · cited by 633
- Smallstatement and proof · cited by 369
- Order.lt_succproof · cited by 45
- Eq.not_ltproof · cited by 22
- Ordinal.lt_iSup_iffproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- not_injective_of_ordinalproof · cited by 2