def
definition
def or abbrev
recognitionQuotientMk
show as:
view Lean formalization →
formal statement (Lean)
30def recognitionQuotientMk {C E : Type*} (r : Recognizer C E) (c : C) :
31 RecognitionQuotient r :=
proof body
Definition body.
32 Quotient.mk (indistinguishableSetoid r) c
33
34/-! ## Quotient Properties -/
35
36variable {C E : Type*} (r : Recognizer C E)
37
38/-- Two configurations have the same quotient class iff indistinguishable -/
used by (22)
-
atlas_covers_quotient -
chartOnQuotient -
chartOnQuotient_well_defined -
quotientMapLeft -
quotientMapLeft_surjective -
quotientMapRight -
quotientMapRight_surjective -
separating_quotient_bijective -
fundamental_theorem -
fundamental_theorem_composite -
quotient_uniqueness -
universal_property -
liftToQuotient_spec -
projectSet -
quotient_equiv_image -
quotientEventMap_spec -
quotientMk_eq_iff -
quotientMk_respects_event -
quotientNeighborhoods -
recognition_quotient_summary -
symmetryQuotientMap -
symmetryQuotientMap_mk