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CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Truth tables
Conjunction
falantru
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falanfal
Metamath Proof Explorer
Ascii
Structured
Theorem
falantru
Description:
A
/\
identity.
(Contributed by
Anthony Hart
, 22-Oct-2010)
Ref
Expression
Assertion
falantru
⊢
( ( ⊥ ∧ ⊤ ) ↔ ⊥ )
Proof
Step
Hyp
Ref
Expression
1
fal
⊢
¬ ⊥
2
1
intnanr
⊢
¬ ( ⊥ ∧ ⊤ )
3
2
bifal
⊢
( ( ⊥ ∧ ⊤ ) ↔ ⊥ )