Axiom ax-ia3 101

Description: 'And' introduction. Axiom 3 of 10 for intuitionistic logic. (Contributed by Mario Carneiro, 31-Jan-2015.)

Assertion

Ref	Expression
ax-ia3	⊢ (φ → (ψ → (φ ∧ ψ)))

Detailed syntax breakdown of Axiom ax-ia3

Step	Hyp	Ref	Expression
1		wph	. 2 wff φ
2		wps	. . 3 wff ψ
3	1, 2	wa 97	. . 3 wff (φ ∧ ψ)
4	2, 3	wi 4	. 2 wff (ψ → (φ ∧ ψ))
5	1, 4	wi 4	1 wff (φ → (ψ → (φ ∧ ψ)))

This axiom is referenced by:  ex  108  pm3.2  126  pm5.54dc  826  pclem6  1264  xoranor  1267  ax10oe  1675  2pwuninelg  5839  dmaddpq  6363  dmmulpq  6364  ltsopr  6570  ax1hfs  9233