Mathlib Map

Theorems · Definition · logic and foundations

FirstOrder.Language.Formula.iff

{L : FirstOrder.Language} → {α : Type u'} → L.Formula α → L.Formula α → L.Formula α

The biimplication between formulas, as a formula.

Defined in
Mathlib.ModelTheory.Syntax
Cited by
2 results in Mathlib
Foundations
Depth 7 from the axioms · uses no axioms
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Around this declaration

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

FirstOrder.Language.Formula.realize_iff · cited by 1Formula.realize_iffFirstOrder.Language.Sentence.realize_iff · cited by 0Sentence.realize_iffFirstOrder.Language · cited by 1084FirstOrder.LanguageFirstOrder.Language.Formula · cited by 93Language.FormulaFirstOrder.Language.BoundedFormula.iff · cited by 2BoundedFormula.iffFormula.iffCITED BYCITES

Cites3

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

Cited by2

Results whose statement or proof uses this declaration.