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54 lines
1.3 KiB
Plaintext
54 lines
1.3 KiB
Plaintext
BBT.balance.lft_heavier
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: ∀(K: *)
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∀(V: *)
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∀(cmp: ∀(a: K) ∀(b: K) Cmp)
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∀(new_size: #U60)
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∀(node_key: K)
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∀(set_key: K)
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∀(val: V)
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∀(lft: (BBT K V))
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∀(rgt: (BBT K V))
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(BBT K V)
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= λK λV λcmp λnew_size λnode_key λset_key λval λlft λrgt
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use P = λx (BBT K V)
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use bin = λlft.size λlft.key λlft.val λlft.lft λlft.rgt
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use P = λx
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∀(new_size: #U60)
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∀(key: K)
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∀(val: V)
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∀(lft.key: K)
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∀(lft.val: V)
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∀(lft.lft: (BBT K V))
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∀(lft.rgt: (BBT K V))
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∀(rgt: (BBT K V))
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(BBT K V)
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use true = λnew_size λkey λval λlft.key λlft.val λlft.lft λlft.rgt λrgt
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use lft = (BBT.lft_rotate
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K
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V
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lft.size
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lft.key
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lft.val
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lft.lft
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lft.rgt
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)
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(BBT.rgt_rotate K V new_size key val lft rgt)
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use false = λnew_size λkey λval λlft.key λlft.val λlft.lft λlft.rgt λrgt
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use lft = (BBT.bin K V lft.size lft.key lft.val lft.lft lft.rgt)
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(BBT.rgt_rotate K V new_size key val lft rgt)
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(~(Cmp.is_gtn (cmp set_key lft.key))
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P
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true
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false
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new_size
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node_key
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val
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lft.key
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lft.val
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lft.lft
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lft.rgt
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rgt
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)
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use tip = (BBT.tip K V)
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(~lft P bin tip)
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