Nuprl Rule : productEquality
This rule proved as lemma rule_product_equality_true in file rules/rules_product.v
at https://github.com/vrahli/NuprlInCoq
H ⊢ (x1:a1 × b1) = (x2:a2 × b2) ∈ Type
BY productEquality y
H ⊢ a1 = a2 ∈ Type
H y:a1 ⊢ b1[y/x1] = b2[y/x2] ∈ Type
Definitions occuring in rule :
product: x:A × B[x],
equal: s = t ∈ T,
universe: Type,
axiom: Ax
Latex:
H \mvdash{} (x1:a1 \mtimes{} b1) = (x2:a2 \mtimes{} b2)
BY productEquality y
H \mvdash{} a1 = a2
H y:a1 \mvdash{} b1[y/x1] = b2[y/x2]
Date html generated:
2019_06_20-PM-04_11_45
Last ObjectModification:
2016_07_08-PM-03_48_49
Theory : rules
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