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Axiom ax-subre1 223
Assertion
Ref Expression
ax-subre1 ([xy] [xa] 𝜑 ⧟ [xy] [ya] 𝜑)

Detailed syntax breakdown of Axiom ax-subre1
StepHypRef Expression
1 wph . . . 4 wff 𝜑
2 va . . . 4 var a
3 vx . . . . 5 var x
43nvar 203 . . . 4 nilad x
51, 2, 4wre 205 . . 3 wff [xa] 𝜑
6 vy . . . 4 var y
76nvar 203 . . 3 nilad y
85, 3, 7wsub 207 . 2 wff [xy] [xa] 𝜑
91, 2, 7wre 205 . . 3 wff [ya] 𝜑
109, 3, 7wsub 207 . 2 wff [xy] [ya] 𝜑
118, 10wlb 55 1 wff ([xy] [xa] 𝜑 ⧟ [xy] [ya] 𝜑)
Colors of variables: wff var nilad
This axiom is referenced by: (None)
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