Nuprl Lemma : kind-rename-inj
∀[ra,rt:Id ─→ Id]. (Inj(Knd;Knd;λk.kind-rename(ra;rt;k))) supposing (Inj(Id;Id;ra) and Inj(Id;Id;rt))
Proof
Definitions occuring in Statement :
kind-rename: kind-rename(ra;rt;k),
Knd: Knd,
Id: Id,
inject: Inj(A;B;f),
uimplies: b supposing a,
uall: ∀[x:A]. B[x],
lambda: λx.A[x],
function: x:A ─→ B[x]
Lemmas :
rcv_one_one,
rcv_wf,
not_locl_rcv,
not_rcv_locl,
locl_one_one,
locl_wf,
equal_wf,
Knd_wf,
kindcase_wf,
Id_wf,
IdLnk_wf,
all_wf
\mforall{}[ra,rt:Id {}\mrightarrow{} Id].
(Inj(Knd;Knd;\mlambda{}k.kind-rename(ra;rt;k))) supposing (Inj(Id;Id;ra) and Inj(Id;Id;rt))
Date html generated:
2015_07_17-AM-09_12_00
Last ObjectModification:
2015_01_28-AM-07_57_12
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