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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical disjunction
exmidd
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pm2.1
Metamath Proof Explorer
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Theorem
exmidd
Description:
Law of excluded middle in a context.
(Contributed by
Mario Carneiro
, 9-Feb-2017)
Ref
Expression
Assertion
exmidd
⊢
φ
→
ψ
∨
¬
ψ
Proof
Step
Hyp
Ref
Expression
1
exmid
⊢
ψ
∨
¬
ψ
2
1
a1i
⊢
φ
→
ψ
∨
¬
ψ