Nuprl Rule : dependent_pairFormation
This rule proved as lemma rule_pair_formation_true in file rules/rules_product.v
at https://github.com/vrahli/NuprlInCoq
H ⊢ x:A × B ext <a, b>
BY dependent_pairFormation !parameter{i:l} a y ()
H ⊢ a = a ∈ A
H ⊢ B[a/x] ext b
H y:A ⊢ B[y/x] = B[y/x] ∈ Type
Definitions occuring in rule :
product: x:A × B[x],
pair: <a, b>,
equal: s = t ∈ T,
universe: Type,
axiom: Ax
Latex:
H \mvdash{} x:A \mtimes{} B ext <a, b>
BY dependent\_pairFormation !parameter\{i:l\} a y ()
H \mvdash{} a = a
H \mvdash{} B[a/x] ext b
H y:A \mvdash{} B[y/x] = B[y/x]
Date html generated:
2019_06_20-PM-04_11_50
Last ObjectModification:
2016_07_08-PM-03_49_01
Theory : rules
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