Proof: Prove Find Method Def 39

Let's prove the following theorem:

definition of method "move" of class "Animal" 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": 5, [ ] ] ]

Proof:

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

Proof Table

#	Claim	Reason
1	value at "Animal" in map [ 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 "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]	value at "Animal" in map [ 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 "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ] (Get Map Entry Property)
2	value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ] = [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ]	value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ] = [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ] (do_get_key_value_14_1)
3	value at "move" in map [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ]	value at "move" in map [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ] (do_get_key_value_39_2)
4	value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) = value at "move" in map [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ]	if value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ] = [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], then value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) = value at "move" in map [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ] (Substitution)
5	value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) = [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ]	if value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) = value at "move" in map [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ] and value at "move" in map [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ] = [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], then value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) = [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ] (Transitive Property of Equality)
6	value at "methods" in map (value at "Animal" in map [ 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, [ ] ] ] ], [ ] ] ]) = value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]	if value at "Animal" in map [ 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 "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], then value at "methods" in map (value at "Animal" in map [ 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, [ ] ] ] ], [ ] ] ]) = value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ] (Substitution)
7	value at "move" in map (value at "methods" in map (value at "Animal" in map [ 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, [ ] ] ] ], [ ] ] ])) = value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ])	if value at "methods" in map (value at "Animal" in map [ 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, [ ] ] ] ], [ ] ] ]) = value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ], then value at "move" in map (value at "methods" in map (value at "Animal" in map [ 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, [ ] ] ] ], [ ] ] ])) = value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) (Substitution)
8	value at "move" in map (value at "methods" in map (value at "Animal" in map [ 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": 5, [ ] ] ]	if value at "move" in map (value at "methods" in map (value at "Animal" in map [ 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, [ ] ] ] ], [ ] ] ])) = value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) and value at "move" in map (value at "methods" in map [ entry "bases": [ ], [ entry "methods": [ entry "__init__": [ entry "params": [ self, [ ] ], [ entry "line": 2, [ ] ] ], [ entry "move": [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], [ ] ] ], [ entry "line": 1, [ ] ] ] ]) = [ entry "params": [ self, [ ] ], [ entry "line": 5, [ ] ] ], then value at "move" in map (value at "methods" in map (value at "Animal" in map [ 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": 5, [ ] ] ] (Transitive Property of Equality)
9	definition of method "move" of class "Animal" 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": 5, [ ] ] ]	if value at "move" in map (value at "methods" in map (value at "Animal" in map [ 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": 5, [ ] ] ], then definition of method "move" of class "Animal" 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": 5, [ ] ] ] (Find Method Map)

Comments

Please log in to add comments