Theorem bj-almpig 37532

Description: A partially quantified form of mpi 21 similar to bj-almpi 37531. (Contributed by BJ, 19-Mar-2026.)

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 1827	. 2 ⊢ ∀𝑥(𝜑 → (𝜒 → 𝜓))
3		bj-almpig.min	. 2 ⊢ ∀𝑥𝜒
4	2, 3	bj-almpi 37531	1 ⊢ ∀𝑥(𝜑 → 𝜓)

This proof depends on syntax axioms:   → wi 4  ∀wal 1567

This proof depends on axioms:  ax-mp 5  ax-1 6  ax-2 7  ax-gen 1827  ax-4 1841

This theorem is used by:  bj-axseprep  38032  bj-axreprepsep  38033