Proof: Do Variables At Unchanged 21

Let's prove the following theorem:

if the following are true:
  • expression state at time 21 = "iterate_args"
  • Variables Map at time 21 = [ ]

then Variables Map at time 22 = [ ]

Proof:

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

Given
1 expression state at time 21 = "iterate_args"
2 Variables Map at time 21 = [ ]
Proof Table
# Claim Reason
1 Variables Map at time (21 + 1) = Variables Map at time 21 if expression state at time 21 = "iterate_args", then Variables Map at time (21 + 1) = Variables Map at time 21
2 Variables Map at time (21 + 1) = [ ] if Variables Map at time (21 + 1) = Variables Map at time 21 and Variables Map at time 21 = [ ], then Variables Map at time (21 + 1) = [ ]
3 21 + 1 = 22 21 + 1 = 22
4 Variables Map at time (21 + 1) = Variables Map at time 22 if 21 + 1 = 22, then Variables Map at time (21 + 1) = Variables Map at time 22
5 Variables Map at time 22 = [ ] if Variables Map at time (21 + 1) = Variables Map at time 22 and Variables Map at time (21 + 1) = [ ], then Variables Map at time 22 = [ ]

Comments

Please log in to add comments