Theorems · Theorem · logic and foundations
iff_eq_eq
∀ {a b : Prop}, (a ↔ b) = (a = b)- Defined in
- Mathlib.Logic.Basic
- Cited by
- 13 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses propext
Around this declaration
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Cites0
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
Nothing in Mathlib beyond the foundations.
Cited by13
Results whose statement or proof uses this declaration.
- FirstOrder.Language.BoundedFormula.realize_rel₂proof · cited by 6
- FirstOrder.Language.StrongHomClass.realize_formulaproof · cited by 2
- Set.limsup_eq_tendsto_sum_indicator_atTopproof · cited by 1
- FirstOrder.Language.Ultraproduct.realize_formula_castproof · cited by 1
- FirstOrder.Language.Ultraproduct.sentence_realizeproof · cited by 1
- FirstOrder.Language.structure_simpleGraphOfStructureproof · cited by 0
- FirstOrder.Language.BoundedFormula.realize_liftAtproof · cited by 0
- FirstOrder.Language.BoundedFormula.realize_liftAt_one_selfproof · cited by 0
- FirstOrder.Language.Formula.realize_rel₁proof · cited by 0
- FirstOrder.Language.Formula.realize_rel₂proof · cited by 0
- FirstOrder.Language.BoundedFormula.realize_rel₁proof · cited by 0
- OnePoint.some_eq_iffproof · cited by 0