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Theorems · Definition · logic and foundations

Equiv.pprodEquivProdPLift

{α : Sort u_1} → {β : Sort u_4} → α ×' β ≃ PLift α × PLift β

PProd α β is equivalent to PLift α × PLift β

Defined in
Mathlib.Logic.Equiv.Prod
Cited by
2 results in Mathlib
Foundations
Depth 19 from the axioms · uses propext, Classical.choice, Quot.sound
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Equiv.pprodEquivProdPLift_apply · cited by 0Equiv.pprodEquivProdPLift…Equiv.pprodEquivProdPLift_symm_apply · cited by 0Equiv.pprodEquivProdPLift…Equiv · cited by 8337EquivEquiv.symm · cited by 3681Equiv.symmEquiv.plift · cited by 23Equiv.pliftEquiv.pprodProd · cited by 2Equiv.pprodProdEquiv.pprodEquivProdPLiftCITED BYCITES

Cites4

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.