Proof: Prove Find Method Line 25

Let's prove the following theorem:

if Class Map at time 25 = [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ], then line number of method "__init__" of class "Person" in (Class Map at time 25) = 2

Proof:

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Given

1	Class Map at time 25 = [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ]

Proof Table

#	Claim	Reason
1	definition of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] = [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ]	definition of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] = [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ] (prove_find_method_def_20)
2	value at "line" in map [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ] = 2	value at "line" in map [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ] = 2 (do_get_key_value_25_3)
3	line number of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] = 2	if definition of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] = [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ] and value at "line" in map [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ] = 2, then line number of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] = 2 (Find Method Line)
4	line number of method "__init__" of class "Person" in (Class Map at time 25) = line number of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ]	if Class Map at time 25 = [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ], then line number of method "__init__" of class "Person" in (Class Map at time 25) = line number of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] (Substitution)
5	line number of method "__init__" of class "Person" in (Class Map at time 25) = 2	if line number of method "__init__" of class "Person" in (Class Map at time 25) = line number of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] and line number of method "__init__" of class "Person" in [ entry "Person": [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], [ ] ] = 2, then line number of method "__init__" of class "Person" in (Class Map at time 25) = 2 (Transitive Property of Equality)

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