Database
CLASSICAL FIRST-ORDER LOGIC WITH EQUALITY
Propositional calculus
Logical implication
idd
Next ⟩
a1d
Metamath Proof Explorer
Ascii
Structured
Theorem
idd
Description:
Principle of identity
id
with antecedent.
(Contributed by
NM
, 26-Nov-1995)
Ref
Expression
Assertion
idd
⊢
(
𝜑
→ (
𝜓
→
𝜓
) )
Proof
Step
Hyp
Ref
Expression
1
id
⊢
(
𝜓
→
𝜓
)
2
1
a1i
⊢
(
𝜑
→ (
𝜓
→
𝜓
) )