2015-07-22 17:39:30 +00:00
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simplification rules for iff
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2015-07-14 01:46:09 +00:00
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#1, ?M_1 ↔ ?M_1 ↦ true
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#1, false ↔ ?M_1 ↦ ¬?M_1
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#1, ?M_1 ↔ false ↦ ¬?M_1
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#1, true ↔ ?M_1 ↦ ?M_1
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#1, ?M_1 ↔ true ↦ ?M_1
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#1, ?M_1 ∧ ?M_1 ↦ ?M_1
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#1, false ∧ ?M_1 ↦ false
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#1, ?M_1 ∧ false ↦ false
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#1, true ∧ ?M_1 ↦ ?M_1
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#1, ?M_1 ∧ true ↦ ?M_1
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#1, false ∨ ?M_1 ↦ ?M_1
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#1, ?M_1 ∨ false ↦ ?M_1
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#1, true ∨ ?M_1 ↦ true
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#1, ?M_1 ∨ true ↦ true
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#0, ¬false ↦ true
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#0, ¬true ↦ false
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2015-07-22 17:39:30 +00:00
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simplification rules for eq
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2015-06-02 05:23:34 +00:00
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#2 perm, nat.add ?M_1 ?M_2 ↦ nat.add ?M_2 ?M_1
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2015-07-14 01:46:09 +00:00
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#3, ite false ?M_2 ?M_3 ↦ ?M_3
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#3, ite true ?M_2 ?M_3 ↦ ?M_2
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#4, ite ?M_1 ?M_4 ?M_4 ↦ ?M_4
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