Theorem wefr 2191

Description: A well-ordering is founded.

Assertion

Ref	Expression
wefr	⊢ (R We A → R Fr A)

Proof of Theorem wefr

Step	Hyp	Ref	Expression
1		df-we 2186	. 2 ⊢ (R We A ↔ (R Fr A ∧ R Or A))
2	1	pm3.26bd 259	1 ⊢ (R We A → R Fr A)

Syntax hints:   → wi 2   Or wor 2059   Fr wfr 2061   We wwe 2062

This theorem is referenced by:  wefrc 2195  wereu 2197  ordfr 2214

This theorem was proved from axioms:  ax-1 3  ax-2 4  ax-3 5  ax-mp 6

This theorem depends on definitions:  df-bi 128  df-an 198  df-we 2186

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