Nuprl Lemma : req_int_terms_functionality
∀[x1,x2,y1,y2:int_term()]. (uiff(x1 ≡ y1;x2 ≡ y2)) supposing (y1 ≡ y2 and x1 ≡ x2)
Proof
Definitions occuring in Statement :
req_int_terms: t1 ≡ t2,
int_term: int_term(),
uiff: uiff(P;Q),
uimplies: b supposing a,
uall: ∀[x:A]. B[x]
Definitions unfolded in proof :
uall: ∀[x:A]. B[x],
member: t ∈ T,
uimplies: b supposing a,
uiff: uiff(P;Q),
and: P ∧ Q,
req_int_terms: t1 ≡ t2,
all: ∀x:A. B[x],
implies: P ⇒ Q,
prop: ℙ,
rev_uimplies: rev_uimplies(P;Q)
Latex:
\mforall{}[x1,x2,y1,y2:int\_term()]. (uiff(x1 \mequiv{} y1;x2 \mequiv{} y2)) supposing (y1 \mequiv{} y2 and x1 \mequiv{} x2)
Date html generated:
2020_05_20-AM-10_53_55
Last ObjectModification:
2020_01_06-PM-00_27_38
Theory : reals
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