Theorems · Theorem · combinatorics
Infinite.false
∀ {α : Sort u_1} [Finite α], Infinite α → False- Defined in
- Mathlib.Data.Finite.Defs
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
- Assumes
- Finite
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
- Infinite.not_finiteproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Cardinal.le_range_of_union_finset_eq_univproof · cited by 2
- linearIndependent_le_infinite_basisproof · cited by 1