Proof: Prove Find Method Def 58

Let's prove the following theorem:

definition of method "age_in_months" 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, [ ] ], [ entry "line": 6, [ ] ] ]

Proof:

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Proof Table

#	Claim	Reason
1	value at "Person" in map [ 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 "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, [ ] ] ] ]	value at "Person" in map [ 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 "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, [ ] ] ] ] (Get Map Entry Property)
2	value at "methods" in map [ 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 "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ]	value at "methods" in map [ 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 "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ] (do_get_key_value_20_1)
3	value at "age_in_months" in map [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ]	value at "age_in_months" in map [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ] (do_get_key_value_56_2)
4	value at "age_in_months" in map (value at "methods" in map [ 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, [ ] ] ] ]) = value at "age_in_months" in map [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ]	if value at "methods" in map [ 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 "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ], then value at "age_in_months" in map (value at "methods" in map [ 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, [ ] ] ] ]) = value at "age_in_months" in map [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ] (Substitution)
5	value at "age_in_months" in map (value at "methods" in map [ 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, [ ] ], [ entry "line": 6, [ ] ] ]	if value at "age_in_months" in map (value at "methods" in map [ 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, [ ] ] ] ]) = value at "age_in_months" in map [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ] and value at "age_in_months" in map [ entry "__init__": [ entry "params": [ self, [ first_name, [ last_name, [ age, [ ] ] ] ] ], [ entry "line": 2, [ ] ] ], [ entry "age_in_months": [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 6, [ ] ] ], then value at "age_in_months" in map (value at "methods" in map [ 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, [ ] ], [ entry "line": 6, [ ] ] ] (Transitive Property of Equality)
6	value at "methods" in map (value at "Person" in map [ 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, [ ] ] ] ], [ ] ]) = value at "methods" in map [ 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 value at "Person" in map [ 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 "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 value at "methods" in map (value at "Person" in map [ 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, [ ] ] ] ], [ ] ]) = value at "methods" in map [ 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)
7	value at "age_in_months" in map (value at "methods" in map (value at "Person" in map [ 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, [ ] ] ] ], [ ] ])) = value at "age_in_months" in map (value at "methods" in map [ 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 value at "methods" in map (value at "Person" in map [ 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, [ ] ] ] ], [ ] ]) = value at "methods" in map [ 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 value at "age_in_months" in map (value at "methods" in map (value at "Person" in map [ 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, [ ] ] ] ], [ ] ])) = value at "age_in_months" in map (value at "methods" in map [ 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)
8	value at "age_in_months" in map (value at "methods" in map (value at "Person" in map [ 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, [ ] ], [ entry "line": 6, [ ] ] ]	if value at "age_in_months" in map (value at "methods" in map (value at "Person" in map [ 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, [ ] ] ] ], [ ] ])) = value at "age_in_months" in map (value at "methods" in map [ 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 value at "age_in_months" in map (value at "methods" in map [ 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, [ ] ], [ entry "line": 6, [ ] ] ], then value at "age_in_months" in map (value at "methods" in map (value at "Person" in map [ 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, [ ] ], [ entry "line": 6, [ ] ] ] (Transitive Property of Equality)
9	definition of method "age_in_months" 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, [ ] ], [ entry "line": 6, [ ] ] ]	definition of method "age_in_months" 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, [ ] ], [ entry "line": 6, [ ] ] ] (prove_find_method_def_56)

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