Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Predicate calculus with equality: Tarski's system S2 (1 rule, 6 schemes)
Rule scheme ax-gen (Generalization)
alfal
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Axiom scheme ax-4 (Quantified Implication)
Metamath Proof Explorer
Ascii
Structured
Theorem
alfal
Description:
For all sets,
-. F.
is true.
(Contributed by
Anthony Hart
, 13-Sep-2011)
Ref
Expression
Assertion
alfal
⊢
∀
𝑥
¬ ⊥
Proof
Step
Hyp
Ref
Expression
1
fal
⊢
¬ ⊥
2
1
ax-gen
⊢
∀
𝑥
¬ ⊥