Proof Step: c_0_41

name: c_0_41 syntax: thf role: plain inference: sr

Proof State Overview

proof_step c_0_0 ⊕ keysFor = ? c_0_39 ⊕ member_msg crypt esk255_1 X4 esk256_1 X4 X4 ⊕ keysFor X4 = bot_bot_set_nat c_0_0->c_0_39 c_0_1 ⊕ image_nat_nat X327 bot_bot_set_nat = bot_bot_set_nat c_0_1->c_0_39 c_0_2 ⊖ member_nat X3 bot_bot_set_nat c_0_2->c_0_39 c_0_3 ⊕ bot_bot_set_nat = collect_nat bot_bot_nat_o c_0_3->c_0_39 c_0_4 ⊕ bot_bot_nat_o = ? c_0_4->c_0_39 c_0_5 ⊖ member_msg X2 bot_bot_set_msg c_0_38 ⊖ member_msg X2 bot_bot_set_msg c_0_5->c_0_38 c_0_6 ⊕ keysFor bot_bot_set_msg = bot_bot_set_nat c_0_40 ⊖ keysFor bot_bot_set_msg = bot_bot_set_nat c_0_6->c_0_40 c_0_41 ⊕ $false c_0_38->c_0_41 c_0_39->c_0_41 c_0_40->c_0_41

Input Dependencies

c_0_0 c_0_1 c_0_2 c_0_3 c_0_4 c_0_5 c_0_6

Assumptions

c_0_38 c_0_39 c_0_40

Conclusion

c_0_41

Dependents

None

Formula

$false

Source

inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_38,c_0_39]),c_0_40])

Useful Info

[proof]