Proof: Prove Find Method Line 16

Let's prove the following theorem:

if Class Map at time 16 = [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ], then line number of method "__init__" of class "Dog" in (Class Map at time 16) = 2

Proof:

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Given
1 Class Map at time 16 = [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ]
Proof Table
# Claim Reason
1 definition of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ] definition of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ]
2 value at "line" in map [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ] = 2 value at "line" in map [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ] = 2
3 line number of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] = 2 if definition of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ] and value at "line" in map [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ] = 2, then line number of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] = 2
4 line number of method "__init__" of class "Dog" in (Class Map at time 16) = line number of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] if Class Map at time 16 = [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ], then line number of method "__init__" of class "Dog" in (Class Map at time 16) = line number of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ]
5 line number of method "__init__" of class "Dog" in (Class Map at time 16) = 2 if line number of method "__init__" of class "Dog" in (Class Map at time 16) = line number of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] and line number of method "__init__" of class "Dog" in [ entry "Animal": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] ] = 2, then line number of method "__init__" of class "Dog" in (Class Map at time 16) = 2

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