Nuprl Rule : pertypeMemberEquality
This rule proved as lemma rule_pertype_member_equality_true in file rules/rules_pertype.v
 at https://github.com/vrahli/NuprlInCoq  
H  ⊢ t1 = t2 ∈ pertype(R)
  BY pertypeMemberEquality !parameter{i:l}
  
  H  ⊢ pertype(R) ∈ Type
  H  ⊢ R t1 t2
  H  ⊢ t1 ∈ Base
Definitions occuring in rule : 
equal: s = t ∈ T
, 
universe: Type
, 
pertype: pertype(R)
, 
apply: f a
, 
member: t ∈ T
, 
base: Base
, 
axiom: Ax
Latex:
H    \mvdash{}  t1  =  t2
    BY  pertypeMemberEquality  !parameter\{i:l\}
   
    H    \mvdash{}  pertype(R)  \mmember{}  Type
    H    \mvdash{}  R  t1  t2
    H    \mvdash{}  t1  \mmember{}  Base
Date html generated:
2019_06_20-PM-04_12_10
Last ObjectModification:
2018_09_07-PM-04_30_11
Theory : rules
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