Mathlib Map

Theorems · Theorem · category theory

PFunctor.M.IsBisimulation.head

∀ {F : PFunctor.{uA, uB}} {R : F.M → F.M → Prop},
  PFunctor.M.IsBisimulation R →
    ∀ {a a' : F.A} {f : F.B a → F.M} {f' : F.B a' → F.M}, R (PFunctor.M.mk ⟨a, f⟩) (PFunctor.M.mk ⟨a', f'⟩) → a = a'

The head of the trees are equal

Defined in
Mathlib.Data.PFunctor.Univariate.M
Cited by
1 results in Mathlib
Foundations
Depth 13 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

PFunctor.M.nth_of_bisim · cited by 1M.nth_of_bisimPFunctor.B · cited by 119PFunctor.BPFunctor.A · cited by 101PFunctor.APFunctor · cited by 75PFunctorPFunctor.M · cited by 52PFunctor.MPFunctor.M.mk · cited by 27M.mkPFunctor.M.IsBisimulation · cited by 4M.IsBisimulationIsBisimulation.headCITED BYCITES

Cites6

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

Cited by1

Results whose statement or proof uses this declaration.