Nuprl Lemma : algebra_subtype_algebra_sig
∀A:RngSig. (algebra{i:l}(A) ⊆r algebra_sig{i:l}(|A|))
Proof
Definitions occuring in Statement :
algebra: algebra{i:l}(A),
algebra_sig: algebra_sig{i:l}(A),
subtype_rel: A ⊆r B,
all: ∀x:A. B[x],
rng_car: |r|,
rng_sig: RngSig
Definitions unfolded in proof :
all: ∀x:A. B[x],
subtype_rel: A ⊆r B,
member: t ∈ T,
algebra: algebra{i:l}(A),
module: A-Module
Lemmas referenced :
algebra_wf,
rng_sig_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
lambdaFormation,
lambdaEquality,
sqequalHypSubstitution,
setElimination,
thin,
rename,
hypothesisEquality,
cut,
lemma_by_obid,
dependent_functionElimination,
hypothesis
Latex:
\mforall{}A:RngSig. (algebra\{i:l\}(A) \msubseteq{}r algebra\_sig\{i:l\}(|A|))
Date html generated:
2016_05_16-AM-07_27_23
Last ObjectModification:
2015_12_28-PM-05_07_30
Theory : algebras_1
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