1 | 1. u: Term 2. u1: TermType{i'} 3. w: u:{v:Term| u1(v) }d:Decl{i}, tr:trace_env(d), a:(d), e,s,v:Top. affects_trace(tr.proj;kind(a);u) ([[u]] e s v tappend(tr;a) ~ [[u]] e s v tr) 4. y1: Label d:Decl{i}, tr:trace_env(d), a:(d), e,s,v:Top. tr.proj(y1,kind(a)) (tappend(tr;a).y1 ~ tr.y1) |
2 | 1. u: Term 2. u1: TermType{i'} 3. w: u:{v:Term| u1(v) }d:Decl{i}, tr:trace_env(d), a:(d), e,s,v:Top. affects_trace(tr.proj;kind(a);u) ([[u]] e s v tappend(tr;a) ~ [[u]] e s v tr) 4. y1: {v:Term| u1(v) } 5. y2: {v:Term| u1(v) } d:Decl{i}, tr:trace_env(d), a:(d), e,s,v:Top. (affects_trace(tr.proj;kind(a);y1) affects_trace(tr.proj;kind(a);y2)) (([[y1]] e s v tappend(tr;a)([[y2]] e s v tappend(tr;a))) ~ ([[y1]] e s v tr([[y2]] e s v tr))) |
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