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Theorem eqnetri 2533

Description: Substitution of equal classes into an inequality. (Contributed by NM, 4-Jul-2012.)

**Hypotheses**
Ref	Expression
eqnetr.1
eqnetr.2

**Assertion**
Ref	Expression
eqnetri

**Proof of Theorem eqnetri**
Step	Hyp	Ref	Expression
1		eqnetr.2	. 2
2		eqnetr.1	. . 3
3	2	neeq1i 2526	. 2
4	1, 3	mpbir 200	1

Colors of variables: wff setvar class

Syntax hints:

wceq 1642

wne 2516

This theorem was proved from axioms: ax-1 5 ax-2 6 ax-3 7 ax-mp 8 ax-gen 1546 ax-5 1557 ax-17 1616 ax-9 1654 ax-8 1675 ax-11 1746 ax-ext 2334

This theorem depends on definitions: df-bi 177 df-ex 1542 df-cleq 2346 df-ne 2518

This theorem is referenced by: eqnetrri 2535 tfin1c 4499 map0 6025 ce0nnulb 6182 addceq0 6219 nchoicelem14 6302