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Theorem ex-natded5.3i 27593
Description: The same as ex-natded5.3 27591 and ex-natded5.3-2 27592 but with no context. Identical to jccir 513, which should be used instead. (Contributed by Mario Carneiro, 9-Feb-2017.) (Proof modification is discouraged.) (New usage is discouraged.)
Hypotheses
Ref Expression
ex-natded5.3i.1 (𝜓𝜒)
ex-natded5.3i.2 (𝜒𝜃)
Assertion
Ref Expression
ex-natded5.3i (𝜓 → (𝜒𝜃))

Proof of Theorem ex-natded5.3i
StepHypRef Expression
1 ex-natded5.3i.1 . 2 (𝜓𝜒)
2 ex-natded5.3i.2 . . 3 (𝜒𝜃)
31, 2syl 17 . 2 (𝜓𝜃)
41, 3jca 503 1 (𝜓 → (𝜒𝜃))
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 384
This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-3 8
This theorem depends on definitions:  df-bi 198  df-an 385
This theorem is referenced by: (None)
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