Mathlib Map

Theorems · Theorem

not_nontrivial

∀ (α : Type u_3) [Subsingleton α], ¬Nontrivial α
Defined in
Mathlib.Logic.Nontrivial.Defs
Cited by
5 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
Assumes
Subsingleton
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Around this declaration

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

not_subsingleton · cited by 24not_subsingletonfalse_of_nontrivial_of_subsingleton · cited by 5false_of_nontrivial_of_su…LieModule.disjoint_lowerCentralSeries_maxTrivSubmodule_iff · cited by 1LieModule.disjoint_lowerC…RootPairing.not_isIrreducible_of_subsingleton · cited by 0RootPairing.not_isIrreduc…SimpleGraph.IsIsolated.of_subsingleton · cited by 0IsIsolated.of_subsingletonNontrivial · cited by 2416Nontrivialnot_nontrivialCITED BYCITES

Cites1

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Cited by5

Results whose statement or proof uses this declaration.