Nuprl Lemma : equalf_from_lef_wf
∀[y:Type]. ∀[lef:y ─→ y ─→ 𝔹]. ∀[x,y:y]. (equalf_from_lef(lef;x;y) ∈ 𝔹)
Proof
Definitions occuring in Statement :
equalf_from_lef: equalf_from_lef(lef;x;y),
bool: 𝔹,
uall: ∀[x:A]. B[x],
member: t ∈ T,
function: x:A ─→ B[x],
universe: Type
Lemmas :
bool_wf,
eqtt_to_assert,
uiff_transitivity,
equal-wf-T-base,
assert_wf,
bnot_wf,
not_wf,
eqff_to_assert,
assert_of_bnot,
bfalse_wf
\mforall{}[y:Type]. \mforall{}[lef:y {}\mrightarrow{} y {}\mrightarrow{} \mBbbB{}]. \mforall{}[x,y:y]. (equalf\_from\_lef(lef;x;y) \mmember{} \mBbbB{})
Date html generated:
2015_07_17-AM-07_41_16
Last ObjectModification:
2015_01_27-AM-09_31_09
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