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Theorems · Definition

Nontrivial.casesOn

{α : Type u_3} →
  {motive : Nontrivial α → Sort u} → (t : Nontrivial α) → ((exists_pair_ne : ∃ x y, x ≠ y) → motive ⋯) → motive t
Defined in
Mathlib.Logic.Nontrivial.Defs
Cited by
6 results in Mathlib
Foundations
Depth 5 from the axioms · uses no axioms
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Around this declaration

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

LieSubmodule.nontrivial_iff_ne_bot · cited by 6LieSubmodule.nontrivial_i…Algebra.FormallyUnramified.iff_comp_injective_of_small · cited by 4FormallyUnramified.iff_co…PreconnectedSpace.trivial_of_discrete · cited by 2PreconnectedSpace.trivial…subsingleton_of_disjoint_isClopen · cited by 2subsingleton_of_disjoint_…ValuativeRel.isNontrivial_iff_nontrivial_units · cited by 0ValuativeRel.isNontrivial…Finsupp.nontrivial_iff · cited by 0Finsupp.nontrivial_iffNontrivial · cited by 2416NontrivialNontrivial.casesOnCITED BYCITES

Cites1

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Cited by6

Results whose statement or proof uses this declaration.