Theorems · Theorem · category theory
PFunctor.M.iselect_eq_default
∀ {F : PFunctor.{uA, uB}} [inst : DecidableEq F.A] [inst_1 : Inhabited F.M] (ps : PFunctor.Approx.Path F) (x : F.M),
¬PFunctor.M.IsPath ps x → PFunctor.M.iselect ps x = default.head- Defined in
- Mathlib.Data.PFunctor.Univariate.M
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 79 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- DecidableEqInhabited
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- PFunctor.Bproof · cited by 119
- PFunctor.Astatement and proof · cited by 101
- PFunctorstatement and proof · cited by 75
- PFunctor.Mstatement and proof · cited by 52
- PFunctor.M.mkproof · cited by 27
- PFunctor.Idxproof · cited by 11
- PFunctor.Approx.Pathstatement and proof · cited by 11
- PFunctor.M.headstatement and proof · cited by 10
- PFunctor.M.iselectstatement and proof · cited by 7
- PFunctor.M.casesOn'proof · cited by 7
- PFunctor.M.isubtreeproof · cited by 6
- PFunctor.M.IsPathstatement and proof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- PFunctor.M.eq_of_bisimproof · cited by 1