Proof: Do Variables At Unchanged 50

Let's prove the following theorem:

if the following are true:

expression state at time 50 = "return"
Variables Map at time 50 = [ entry self: (Python reference 0), [ ] ]

then Variables Map at time 51 = [ entry self: (Python reference 0), [ ] ]

Proof:

View as a tree | View dependent proofs | Try proving it

Given

1	expression state at time 50 = "return"
2	Variables Map at time 50 = [ entry self: (Python reference 0), [ ] ]

Proof Table

#	Claim	Reason
1	Variables Map at time (50 + 1) = Variables Map at time 50	if expression state at time 50 = "return", then Variables Map at time (50 + 1) = Variables Map at time 50 (Return (5))
2	Variables Map at time (50 + 1) = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (50 + 1) = Variables Map at time 50 and Variables Map at time 50 = [ entry self: (Python reference 0), [ ] ], then Variables Map at time (50 + 1) = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality)
3	50 + 1 = 51	50 + 1 = 51 (Fixed Value Statement)
4	Variables Map at time (50 + 1) = Variables Map at time 51	if 50 + 1 = 51, then Variables Map at time (50 + 1) = Variables Map at time 51 (Substitution)
5	Variables Map at time 51 = [ entry self: (Python reference 0), [ ] ]	if Variables Map at time (50 + 1) = Variables Map at time 51 and Variables Map at time (50 + 1) = [ entry self: (Python reference 0), [ ] ], then Variables Map at time 51 = [ entry self: (Python reference 0), [ ] ] (Transitive Property of Equality Variation 2)

Comments

Please log in to add comments