Metamath Proof Explorer


Theorem ex-natded5.3i

Description: The same as ex-natded5.3 and ex-natded5.3-2 but with no context. Identical to jccir , which should be used instead. (Contributed by Mario Carneiro, 9-Feb-2017) (Proof modification is discouraged.) (New usage is discouraged.)

Ref Expression
Hypotheses ex-natded5.3i.1 ⊢ ψ → χ
ex-natded5.3i.2 ⊢ χ → θ
Assertion ex-natded5.3i ⊢ ψ → χ ∧ θ

Proof

Step Hyp Ref Expression
1 ex-natded5.3i.1 ⊢ ψ → χ
2 ex-natded5.3i.2 ⊢ χ → θ
3 1 2 syl ⊢ ψ → θ
4 1 3 jca ⊢ ψ → χ ∧ θ