Nuprl Lemma : mtype_wf
∀[Mn:Monad]. (mtype(Mn) ∈ Type ⟶ Type)
Proof
Definitions occuring in Statement :
mtype: mtype(M),
monad: Monad,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
mtype: mtype(M),
pi1: fst(t),
monad: Monad
Lemmas referenced :
monad_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation,
introduction,
cut,
sqequalRule,
sqequalHypSubstitution,
productElimination,
thin,
hypothesisEquality,
hypothesis,
axiomEquality,
equalityTransitivity,
equalitySymmetry,
lemma_by_obid
Latex:
\mforall{}[Mn:Monad]. (mtype(Mn) \mmember{} Type {}\mrightarrow{} Type)
Date html generated:
2016_05_15-PM-02_21_22
Last ObjectModification:
2015_12_27-AM-08_57_54
Theory : monads
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