Nuprl Lemma : real_exp-req
∀[x:ℝ]. (real_exp(x) = e^x)
Proof
Definitions occuring in Statement :
real_exp: real_exp(x),
rexp: e^x,
req: x = y,
real: ℝ,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
all: ∀x:A. B[x],
implies: P ⇒ Q,
sq_stable: SqStable(P),
squash: ↓T,
subtype_rel: A ⊆r B
Lemmas referenced :
real_exp_wf,
sq_stable__req,
rexp_wf,
req_witness,
real_wf
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
isect_memberFormation_alt,
introduction,
cut,
extract_by_obid,
sqequalHypSubstitution,
isectElimination,
thin,
hypothesisEquality,
hypothesis,
inhabitedIsType,
lambdaFormation_alt,
setElimination,
rename,
independent_functionElimination,
sqequalRule,
imageMemberEquality,
baseClosed,
imageElimination,
equalityIstype,
equalityTransitivity,
equalitySymmetry,
dependent_functionElimination,
applyEquality,
lambdaEquality_alt,
universeIsType
Latex:
\mforall{}[x:\mBbbR{}]. (real\_exp(x) = e\^{}x)
Date html generated:
2019_10_30-AM-11_41_23
Last ObjectModification:
2019_02_04-PM-11_47_34
Theory : reals_2
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