Nuprl Lemma : unit_triviality
∀[a:Unit]. (a = ⋅ ∈ Unit)
Proof
Definitions occuring in Statement :
it: ⋅,
uall: ∀[x:A]. B[x],
unit: Unit,
equal: s = t ∈ T
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
unit: Unit,
member: t ∈ T,
it: ⋅
Lemmas referenced :
it_wf,
unit_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :isect_memberFormation_alt,
sqequalHypSubstitution,
equalityElimination,
thin,
cut,
introduction,
extract_by_obid,
hypothesis,
Error :universeIsType
Latex:
\mforall{}[a:Unit]. (a = \mcdot{})
Date html generated:
2019_06_20-AM-11_14_50
Last ObjectModification:
2018_09_26-AM-10_42_02
Theory : core_2
Home
Index