22 lines
621 B
Text
22 lines
621 B
Text
rewrite rules for iff
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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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rewrite rules for eq
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#2 perm, nat.add ?M_1 ?M_2 ↦ nat.add ?M_2 ?M_1
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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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