Nuprl Rule : dependent_set_memberEquality
H ⊢ a1 = a2 ∈ {x:A| B}
BY dependent_set_memberEquality !parameter{i:l} y ()
H ⊢ a1 = a2 ∈ A
H ⊢ B[a1/x]
H y:A ⊢ B[y/x] = B[y/x] ∈ Type
Definitions occuring in rule :
set: {x:A| B[x]} ,
equal: s = t ∈ T,
universe: Type,
axiom: Ax
Latex:
H \mvdash{} a1 = a2
BY dependent\_set\_memberEquality !parameter\{i:l\} y ()
H \mvdash{} a1 = a2
H \mvdash{} B[a1/x]
H y:A \mvdash{} B[y/x] = B[y/x]
Date html generated:
2019_06_20-PM-04_11_48
Last ObjectModification:
2015_11_25-PM-03_37_46
Theory : rules
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