Nuprl Lemma : int_formual_prop_imp_lemma
∀y,x,f:Top. (int_formula_prop(f;x "=>" y) ~ int_formula_prop(f;x) ⇒ int_formula_prop(f;y))
Proof
Definitions occuring in Statement :
int_formula_prop: int_formula_prop(f;fmla),
intformimplies: left "=>" right,
top: Top,
all: ∀x:A. B[x],
implies: P ⇒ Q,
sqequal: s ~ t
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T,
int_formula_prop: int_formula_prop(f;fmla),
intformimplies: left "=>" right,
int_formula_ind: int_formula_ind
Lemmas referenced :
top_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
cut,
hypothesis,
lemma_by_obid,
sqequalRule
Latex:
\mforall{}y,x,f:Top. (int\_formula\_prop(f;x "=>" y) \msim{} int\_formula\_prop(f;x) {}\mRightarrow{} int\_formula\_prop(f;y))
Date html generated:
2016_05_14-AM-07_07_27
Last ObjectModification:
2015_12_26-PM-01_08_44
Theory : omega
Home
Index