Proof: Do Has Key 39 0

Let's prove the following theorem:

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, [ ] ] ] ], [ ] ] ] contains key "Dog" = True

Proof:

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Proof Table
# Claim Reason
1 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, [ ] ] ] ], [ ] ] ] contains key "Dog" = map [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] contains key "Dog" 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, [ ] ] ] ], [ ] ] ] contains key "Dog" = map [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] contains key "Dog"
2 map [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] contains key "Dog" = True map [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] contains key "Dog" = True
3 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, [ ] ] ] ], [ ] ] ] contains key "Dog" = True if 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, [ ] ] ] ], [ ] ] ] contains key "Dog" = map [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] contains key "Dog" and map [ entry "Dog": [ entry "bases": [ "Animal", [ ] ], [ entry "methods": [ entry "jump": [ entry "params": [ self, [ ] ], [ entry "line": 8, [ ] ] ], [ ] ], [ entry "line": 7, [ ] ] ] ], [ ] ] contains key "Dog" = True, then 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, [ ] ] ] ], [ ] ] ] contains key "Dog" = True

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