Theorem axia1 2693

Description: Left 'and' elimination (intuitionistic logic axiom ax-ia1). (Contributed by Jim Kingdon, 21-May-2018.) (New usage is discouraged.)

Assertion

Ref	Expression
axia1	⊢ ((𝜑 ∧ 𝜓) → 𝜑)

Proof of Theorem axia1

Step	Hyp	Ref	Expression
1		simpl 482	1 ⊢ ((𝜑 ∧ 𝜓) → 𝜑)

Syntax hints:   → wi 4   ∧ wa 395

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 207  df-an 396

This theorem is referenced by: (None)