Theorems · Theorem · logic and foundations
Unique.forall_iff
∀ {α : Sort u_1} [inst : Unique α] {p : α → Prop}, (∀ (a : α), p a) ↔ p default- Defined in
- Mathlib.Logic.Unique
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 5 from the axioms · uses no axioms
- Assumes
- Unique
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Uniquestatement and proof · cited by 400
- Unique.eq_defaultproof · cited by 38
Cited by13
Results whose statement or proof uses this declaration.
- Finsupp.unique_singleproof · cited by 6
- FirstOrder.Language.Theory.models_sentence_iffproof · cited by 6
- FirstOrder.Language.Theory.models_formula_iffproof · cited by 2
- Matrix.vec_single_eq_constproof · cited by 1
- stdSimplex_uniqueproof · cited by 1
- equicontinuousOn_uniqueproof · cited by 0
- equicontinuousWithinAt_uniqueproof · cited by 0
- FirstOrder.Language.BoundedFormula.realize_allsproof · cited by 0
- uniformEquicontinuousOn_uniqueproof · cited by 0
- equicontinuous_uniqueproof · cited by 0
- MeasureTheory.lintegral_uniqueproof · cited by 0
- equicontinuousAt_uniqueproof · cited by 0