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Axiom ax-send 228
Description: Message passing.
Assertion
Ref Expression
ax-send (([zy] 𝜑 ⊗ [zx] 𝜓) ⊸ (𝜑 ⊗ [xy] 𝜓))

Detailed syntax breakdown of Axiom ax-send
StepHypRef Expression
1 wph . . . 4 wff 𝜑
2 vz . . . . 5 var z
32nvar 203 . . . 4 nilad z
4 vy . . . . 5 var y
54nvar 203 . . . 4 nilad y
61, 3, 5wse 204 . . 3 wff [zy] 𝜑
7 wps . . . 4 wff 𝜓
8 vx . . . 4 var x
97, 8, 3wre 205 . . 3 wff [zx] 𝜓
106, 9wmc 105 . 2 wff ([zy] 𝜑 ⊗ [zx] 𝜓)
117, 8, 5wsub 207 . . 3 wff [xy] 𝜓
121, 11wmc 105 . 2 wff (𝜑 ⊗ [xy] 𝜓)
1310, 12wli 61 1 wff (([zy] 𝜑 ⊗ [zx] 𝜓) ⊸ (𝜑 ⊗ [xy] 𝜓))
Colors of variables: wff var nilad
This axiom is referenced by: (None)
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