Theorems · Theorem · logic and foundations
Cardinal.extend_function_of_lt
∀ {α : Type u_1} {β : Type u_2} {s : Set α} (f : ↑s ↪ β),
Cardinal.mk ↑s < Cardinal.mk α → Nonempty (α ≃ β) → ∃ g, ∀ (x : ↑s), g ↑x = f x- Defined in
- Mathlib.SetTheory.Cardinal.Arithmetic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 105 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites22
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- Equivstatement and proof · cited by 8,337
- Fintypeproof · cited by 7,736
- Set.Elemstatement and proof · cited by 7,166
- Set.rangeproof · cited by 4,705
- Compl.complproof · cited by 2,925
- Cardinalstatement and proof · cited by 2,598
- Function.Embeddingstatement and proof · cited by 988
- Cardinal.mkstatement and proof · cited by 942
- Cardinal.liftproof · cited by 583
- Equiv.injectiveproof · cited by 464
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