Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
True and false constants
The false constant
falimd
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dfnot
Metamath Proof Explorer
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Theorem
falimd
Description:
The truth value
F.
implies anything.
(Contributed by
Mario Carneiro
, 9-Feb-2017)
Ref
Expression
Assertion
falimd
⊢
φ
∧
⊥
→
ψ
Proof
Step
Hyp
Ref
Expression
1
falim
⊢
⊥
→
ψ
2
1
adantl
⊢
φ
∧
⊥
→
ψ