Mathlib Map

Theorems · Theorem · combinatorics

Infinite.not_finite

∀ {α : Sort u_3} [self : Infinite α], ¬Finite α

assertion that α is ¬Finite

Defined in
Mathlib.Data.Finite.Defs
Cited by
5 results in Mathlib
Foundations
Depth 2 from the axioms · uses no axioms
Assumes
Infinite
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

not_finite · cited by 10not_finitenot_finite_iff_infinite · cited by 8not_finite_iff_infiniteInfinite.false · cited by 2Infinite.falseIsNoetherian.subsingleton_of_injective · cited by 1IsNoetherian.subsingleton…not_surjective_finite_infinite · cited by 0not_surjective_finite_inf…Finite · cited by 3029FiniteInfinite · cited by 352InfiniteInfinite.not_finiteCITED BYCITES

Cites2

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

  • Finitestatement · cited by 3,029
  • Infinitestatement and proof · cited by 352

Cited by5

Results whose statement or proof uses this declaration.