Theorem bj-almpig 36835

Description: A partially quantified form of mpi 20 similar to bj-almpi 36834. (Contributed by BJ, 19-Mar-2026.) (Proof modification is discouraged.)

Hypotheses

Ref	Expression
bj-almpig.maj	⊢ (𝜑 → (𝜒 → 𝜓))
bj-almpig.min	⊢ ∀𝑥𝜒

Assertion

Ref	Expression
bj-almpig	⊢ ∀𝑥(𝜑 → 𝜓)

Proof of Theorem bj-almpig

Step	Hyp	Ref	Expression
1		bj-almpig.maj	. . 3 ⊢ (𝜑 → (𝜒 → 𝜓))
2	1	ax-gen 1797	. 2 ⊢ ∀𝑥(𝜑 → (𝜒 → 𝜓))
3		bj-almpig.min	. 2 ⊢ ∀𝑥𝜒
4	2, 3	bj-almpi 36834	1 ⊢ ∀𝑥(𝜑 → 𝜓)

Syntax hints:   → wi 4  ∀wal 1540

This theorem was proved from axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1797  ax-4 1811

This theorem is referenced by:  bj-axseprep  37313  bj-axreprepsep  37314