Nuprl Lemma : add-comm
∀x,y:ℤ. ((x + y) = (y + x) ∈ ℤ)
Proof
Definitions occuring in Statement :
all: ∀x:A. B[x],
add: n + m,
int: ℤ,
equal: s = t ∈ T
Definitions unfolded in proof :
all: ∀x:A. B[x],
member: t ∈ T
Lemmas referenced :
istype-int
Rules used in proof :
sqequalSubstitution,
sqequalTransitivity,
computationStep,
sqequalReflexivity,
Error :lambdaFormation_alt,
cut,
addCommutative,
hypothesisEquality,
hypothesis,
Error :inhabitedIsType,
introduction,
extract_by_obid
Latex:
\mforall{}x,y:\mBbbZ{}. ((x + y) = (y + x))
Date html generated:
2019_06_20-AM-11_19_47
Last ObjectModification:
2018_10_12-PM-04_21_11
Theory : sqequal_1
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