Theorems · Theorem · logic and foundations
WType.infinite_of_nonempty_of_isEmpty
∀ {α : Type u_1} {β : α → Type u_2} (a b : α) [ha : Nonempty (β a)] [he : IsEmpty (β b)], Infinite (WType β)- Defined in
- Mathlib.Data.W.Basic
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finiteproof · cited by 3,029
- IsEmptystatement and proof · cited by 759
- Infinitestatement · cited by 352
- WTypestatement and proof · cited by 34
- IsEmpty.elim'proof · cited by 12
- not_injective_infinite_finiteproof · cited by 7
- WType.mk.injEqproof · cited by 1
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