Nuprl Lemma : lifting2-like_wf
∀[A,B,C:Type]. ∀[f:bag(A) ⟶ bag(B) ⟶ bag(C)]. (lifting2-like(A;B;f) ∈ ℙ)
Proof
Definitions occuring in Statement :
lifting2-like: lifting2-like(A;B;f),
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
function: x:A ⟶ B[x],
universe: Type,
bag: bag(T)
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
lifting2-like: lifting2-like(A;B;f),
prop: ℙ,
and: P ∧ Q,
so_lambda: λ2x.t[x],
implies: P ⇒ Q,
all: ∀x:A. B[x],
iff: P ⇐⇒ Q,
rev_implies: P ⇐ Q,
so_apply: x[s]
Latex:
\mforall{}[A,B,C:Type]. \mforall{}[f:bag(A) {}\mrightarrow{} bag(B) {}\mrightarrow{} bag(C)]. (lifting2-like(A;B;f) \mmember{} \mBbbP{})
Date html generated:
2016_05_17-AM-11_12_14
Last ObjectModification:
2015_12_29-PM-05_14_16
Theory : process-model
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