Nuprl Lemma : algebra_sig_wf
∀A:Type. (algebra_sig{i:l}(A) ∈ 𝕌')
Proof
Definitions occuring in Statement :
algebra_sig: algebra_sig{i:l}(A),
all: ∀x:A. B[x],
member: t ∈ T,
universe: Type
Definitions unfolded in proof :
algebra_sig: algebra_sig{i:l}(A),
all: ∀x:A. B[x],
member: t ∈ T
Lemmas referenced :
bool_wf,
unit_wf2
Rules used in proof :
sqequalSubstitution,
sqequalRule,
sqequalReflexivity,
sqequalTransitivity,
computationStep,
lambdaFormation,
cut,
productEquality,
universeEquality,
cumulativity,
functionEquality,
hypothesisEquality,
lemma_by_obid,
hypothesis,
unionEquality,
sqequalHypSubstitution
Latex:
\mforall{}A:Type. (algebra\_sig\{i:l\}(A) \mmember{} \mBbbU{}')
Date html generated:
2016_05_16-AM-07_25_50
Last ObjectModification:
2015_12_28-PM-05_08_17
Theory : algebras_1
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