Nuprl Rule : isatomCases
H ⊢ C ext !((!\\x.if t is an atom then ea otherwise eb) Ax)
BY isatomCases x t u v ()
H ⊢ 0 ≤ eval x = t in 0
H ⊢ t ∈ Base
H x:(t ∈ Atom) ⊢ C ext ea
H x:(∀[u,v:Base]. (if t is an atom then u otherwise v ~ v)) ⊢ C ext eb
Definitions occuring in rule :
sqle: s ≤ t,
callbyvalue: callbyvalue,
natural_number: $n,
axiom: Ax,
member: t ∈ T,
atom: Atom,
uall: ∀[x:A]. B[x],
base: Base,
sqequal: s ~ t,
isatom: if z is an atom then a otherwise b
Latex:
H \mvdash{} C ext !((!\mbackslash{}\mbackslash{}x.if t is an atom then ea otherwise eb) Ax)
BY isatomCases x t u v ()
H \mvdash{} 0 \mleq{} eval x = t in 0
H \mvdash{} t \mmember{} Base
H x:(t \mmember{} Atom) \mvdash{} C ext ea
H x:(\mforall{}[u,v:Base]. (if t is an atom then u otherwise v \msim{} v)) \mvdash{} C ext eb
Date html generated:
2019_06_20-PM-04_12_26
Last ObjectModification:
2015_11_25-PM-03_47_05
Theory : rules
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