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diff --git a/matita/matita/contribs/lambdadelta/static_2/etc/sh_lt.etc b/matita/matita/contribs/lambdadelta/static_2/etc/sh_lt.etc
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index 000000000..89eb9dde5
--- /dev/null
+++ b/matita/matita/contribs/lambdadelta/static_2/etc/sh_lt.etc
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+definition sh_N: sh ≝ mk_sh S ….
+// defined.
+
+axiom nexts_dec: ∀h,s1,s2. Decidable (∃n. (next h)^n s1 = s2).
+
+axiom nexts_inj: ∀h,s,n1,n2. (next h)^n1 s = (next h)^n2 s → n1 = n2.