Typing [local-0] Γ,x:t⊢M:tΓ⊢μ(x:t).M:t\frac{ \Gamma, x : t \vdash M : t }{ \Gamma \vdash \mu (x : t) . M : t }Γ⊢μ(x:t).M:tΓ,x:t⊢M:t Operational (Big step) [local-1] [μ(x:t).M/x]M⇓Vμ(x:t).M⇓V\frac{ [\mu(x:t).M/x] M \Downarrow V }{ \mu(x:t).M \Downarrow V }μ(x:t).M⇓V[μ(x:t).M/x]M⇓V
Γ,x:t⊢M:tΓ⊢μ(x:t).M:t\frac{ \Gamma, x : t \vdash M : t }{ \Gamma \vdash \mu (x : t) . M : t }Γ⊢μ(x:t).M:tΓ,x:t⊢M:t
[μ(x:t).M/x]M⇓Vμ(x:t).M⇓V\frac{ [\mu(x:t).M/x] M \Downarrow V }{ \mu(x:t).M \Downarrow V }μ(x:t).M⇓V[μ(x:t).M/x]M⇓V