Nuprl Lemma : antecedent-surjection_wf
∀[es:EO]. ∀[P,Q:E ─→ ℙ]. ∀[f:{e:E| P e} ─→ {e:E| Q e} ]. (Q ←←─ f── P ∈ ℙ)
Proof
Definitions occuring in Statement :
antecedent-surjection: Q ←←─ f── P,
es-E: E,
event_ordering: EO,
uall: ∀[x:A]. B[x],
prop: ℙ,
member: t ∈ T,
set: {x:A| B[x]} ,
apply: f a,
function: x:A ─→ B[x]
Lemmas :
antecedent-function_wf,
all_wf,
es-E_wf,
exists_wf,
equal_wf,
event_ordering_wf
\mforall{}[es:EO]. \mforall{}[P,Q:E {}\mrightarrow{} \mBbbP{}]. \mforall{}[f:\{e:E| P e\} {}\mrightarrow{} \{e:E| Q e\} ]. (Q \mleftarrow{}\mleftarrow{}{} f{}{} P \mmember{} \mBbbP{})
Date html generated:
2015_07_17-AM-09_06_31
Last ObjectModification:
2015_01_27-PM-00_48_36
Home
Index