Theorems · Theorem · combinatorics
Finite.false
∀ {α : Sort u_1} [Infinite α], Finite α → False- Defined in
- Mathlib.Data.Finite.Defs
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 4 from the axioms · uses no axioms
- Assumes
- Infinite
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Finitestatement and proof · cited by 3,029
- Infinitestatement and proof · cited by 352
- not_finiteproof · cited by 10
Cited by3
Results whose statement or proof uses this declaration.
- Infinite.of_injectiveproof · cited by 10
- not_injective_infinite_finiteproof · cited by 7
- Infinite.of_surjectiveproof · cited by 2