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Theorem H15NH16TH15IH16 41587
Description: Given 15 hypotheses and a 16th hypothesis, there exists a proof the 15 imply the 16th. (Contributed by Jarvin Udandy, 8-Sep-2016.)
Hypotheses
Ref Expression
H15NH16TH15IH16.1 𝜑
H15NH16TH15IH16.2 𝜓
H15NH16TH15IH16.3 𝜒
H15NH16TH15IH16.4 𝜃
H15NH16TH15IH16.5 𝜏
H15NH16TH15IH16.6 𝜂
H15NH16TH15IH16.7 𝜁
H15NH16TH15IH16.8 𝜎
H15NH16TH15IH16.9 𝜌
H15NH16TH15IH16.10 𝜇
H15NH16TH15IH16.11 𝜆
H15NH16TH15IH16.12 𝜅
H15NH16TH15IH16.13 jph
H15NH16TH15IH16.14 jps
H15NH16TH15IH16.15 jch
H15NH16TH15IH16.16 jth
Assertion
Ref Expression
H15NH16TH15IH16 (((((((((((((((𝜑𝜓) ∧ 𝜒) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) ∧ 𝜎) ∧ 𝜌) ∧ 𝜇) ∧ 𝜆) ∧ 𝜅) ∧ jph) ∧ jps) ∧ jch) → jth)

Proof of Theorem H15NH16TH15IH16
StepHypRef Expression
1 H15NH16TH15IH16.16 . 2 jth
21a1i 11 1 (((((((((((((((𝜑𝜓) ∧ 𝜒) ∧ 𝜃) ∧ 𝜏) ∧ 𝜂) ∧ 𝜁) ∧ 𝜎) ∧ 𝜌) ∧ 𝜇) ∧ 𝜆) ∧ 𝜅) ∧ jph) ∧ jps) ∧ jch) → jth)
Colors of variables: wff setvar class
Syntax hints:  wi 4  wa 383
This theorem was proved from axioms:  ax-mp 5  ax-1 6
This theorem is referenced by: (None)
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